The scientific work of Gradimir V. Milovanović. (English) Zbl 1213.01077
Gautschi, Walter (ed.) et al., Approximation and computation. In honor of Gradimir V. Milovanović. Most papers based on the presentations at the international conference, Niš, Serbia, August 25–29, 2008. Dordrecht: Springer (ISBN 978-1-4419-6593-6/hbk; 978-1-4419-6594-3/ebook). Springer Optimization and Its Applications 42, 3-32 (2011).
With bibliography.
For the entire collection see [Zbl 1203.65006].
For the entire collection see [Zbl 1203.65006].
MSC:
| 01A70 | Biographies, obituaries, personalia, bibliographies |
References:
| [1] | D.D. Tošić, G.V. Milovanović: An application of Newton’s method to simultaneous determination of zeros of a polynomial, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No 412-No 460 (1973), 175-177. · Zbl 0281.65030 |
| [2] | G.V. Milovanović: A method to accelerate iterative processes in Banach space, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No 461-No 479 (1974), 67-71. · Zbl 0314.65025 |
| [3] | R.Ž. DORDEVIĆ, G.V. Milovanović: A generalization of E. Landau’s theorem, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No 498-No 541 (1975), 97-106. · Zbl 0319.26009 |
| [4] | G.V. Milovanović: On some integral inequalities, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No 498-No 541 (1975), 119-124. · Zbl 0317.26021 |
| [5] | P.M. Vasić, G.V. Milovanović: On an inequality of Iyengar, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No 544-No 576 (1976), 18-24. · Zbl 0351.26019 |
| [6] | G.V. Milovanović, J.E. Pečarić: On generalization of the inequality of A. Ostrowski and some related applications, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No 544-No 576 (1976), 155-158. · Zbl 0351.26021 |
| [7] | G.V. Milovanović, J.E. Pečarić: Some considerations of Iyengar’s inequality and some related applications, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No 544-No 576 (1976), 166-170. · Zbl 0346.26017 |
| [8] | G.V. Milovanović: On some functional inequalities, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No 599 (1977), 1-59 (Serbian, English summary). · Zbl 0365.39008 |
| [9] | G.V. Milovanović, I.Ž. Milovanović: On discrete inequalities of Wirtinger’s type, J. Math. Anal. Appl. 88 (1982), 378-387. · Zbl 0505.26010 |
| [10] | G.V. Milovanović, R.Ž. DORDEVIĆ: A generalization of modified Birkhoffoung quadrature formula, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No 735-No 762 (1982), 130-134. · Zbl 0544.41024 |
| [11] | Milovanović, G. V.; Petković, M. S., On the convergence order of a modified method for simultaneous finding polynomial zeros, Computing, 30, 171-178 (1983) · Zbl 0499.65025 |
| [12] | Petković, M. S.; Milovanović, G. V., A note on some improvements of the simultaneous method for determination of polynomial zeros, J. Comput. Appl. Math., 9, 65-69 (1983) · Zbl 0512.65041 |
| [13] | G.V. Milovanović, I.Ž. Milovanović: Some discrete inequalities of Opial’s type, Acta Sci. Math. (Szeged) 47 (1984), 413-417. · Zbl 0597.26024 |
| [14] | W. Gautschi, G.V. Milovanović: On a class of complex polynomials having all zeros in a half disc, In: Numerical methods and approximation theory (Niš, 1984), pp. 49-53, Univ. Niš, Niš, 1984. · Zbl 0556.30007 |
| [15] | W. Gautschi, G.V. Milovanović: Polynomials orthogonal on the semicircle, Rend. Sem. Mat. Univ. Politec. Torino, Special Issue (July 1985), 179-185. · Zbl 0609.33009 |
| [16] | G.V. Milovanović: An extremal problem for polynomials with nonnegative coefficients, Proc. Amer. Math. Soc. 94 (1985), 423-426. · Zbl 0538.26004 |
| [17] | W. Gautschi, G.V. Milovanović: Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series, Math. Comp. 44 (1985), 177-190; Supplement to Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series, Math. Comp. 44 (1985), S1-S11. · Zbl 0576.65012 |
| [18] | G.V. Milovanović, M.S. Petković: On computational efficiency of the iterative methods for simultaneous approximation of polynomial zeros, ACM Trans. Math. Software 12 (1986), 295-306. · Zbl 0623.65055 |
| [19] | G.V. Milovanović, B.P. Acharya, T.N. Pattnaik: On numerical evaluation of double integrals of an analytic function of two complex variables, BIT 26 (1986), 521-526. · Zbl 0611.65013 |
| [20] | M.S. Petković, G.V. Milovanović, L.V. Stefanović: Some higher-order methods for the simultaneous approximation of multiple polynomial zeros, Comput. Math. Appl. 12A (1986), 951-962. · Zbl 0618.65032 |
| [21] | W. Gautschi, G.V. Milovanović: Spline approximations to spherically symmetric distributions, Numer. Math. 49 (1986), 111-121. · Zbl 0586.41009 |
| [22] | W. Gautschi, G.V. Milovanović: Polynomials orthogonal on the semicircle, J. Approx. Theory 46 (1986), 230-250. · Zbl 0604.42024 |
| [23] | G.V. Milovanović, I.Ž. Milovanović: A generalization of a result of A. Meir for non-decreasing sequences, Rocky Mountain J. Math. 16 (1986), 237-239. · Zbl 0606.26011 |
| [24] | G.V. Milovanović, S. Wrigge: Least squares approximation with constraints, Math. Comp. 46 (1986), 551-565. · Zbl 0602.41006 |
| [25] | G.V. Milovanović: Various extremal problems of Markov’s type for algebraic polynomials, Facta Univ. Ser. Math. Inform. 2 (1987), 7-28. · Zbl 0726.41009 |
| [26] | Gautschi, W.; Milovanović, G. V., The numerical evaluation of singular integrals with coth-kernel, BIT, 27, 389-402 (1987) · Zbl 0628.65013 |
| [27] | G.V. Milovanović, G. Djordjević: On some properties of Humbert’s polynomials, Fibonacci Quart. 25 (1987), 356-360. · Zbl 0635.33006 |
| [28] | W. Gautschi, H. Landau, G.V. Milovanović: Polynomials orthogonal on the semicircle II, Constr. Approx. 3 (1987), 389-404. · Zbl 0658.42027 |
| [29] | M. Frontini, W. Gautschi, G.V. Milovanović: Moment-preserving spline approximation on finite intervals, Numer. Math. 50 (1987), 503-518. · Zbl 0644.41005 |
| [30] | G.V. Milovanović: Some applications of the polynomials orthogonal on the semicircle, In: Numerical Methods (Miskolc, 1986), pp. 625-634, Colloquia Mathematica Societatis Janos Bolyai, Vol. 50, North-Holland, Amsterdam-New York, 1987. · Zbl 0638.65015 |
| [31] | G.V. Milovanović: Construction of s-orthogonal polynomials and Turán quadrature formulae, In: Numerical methods and approximation theory III (Niš, 1987), pp. 311-328, Univ. Niš, Niš, 1988. · Zbl 0643.65011 |
| [32] | G.V. Milovanović, M.S. Petković: Extremal problems for Lorentz classes of nonnegative polynomials in L_2metric with Jacobi weight, Proc. Am. Math. Soc. 102 (1988), 283-289. · Zbl 0643.26010 |
| [33] | G.V. Milovanović, M.A. Kovačević: Moment-preserving spline approximation and Turán quadratures, In: Numerical mathematics (Singapore, 1988), pp. 357-365, ISNM, Vol. 86, Birkhäuser, Basel, 1988. · Zbl 0659.65010 |
| [34] | G.V. Milovanović: Complex orthogonality on the semicircle with respect to Gegenbauer weight: Theory and applications, In: Topics in Mathematical Analysis (Th.M. Rassias, ed.), pp. 695-722, Ser. Pure Math., 11, World Sci. Publishing, Teaneck, NJ, 1989. · Zbl 0732.65014 |
| [35] | G.V. Milovanović, P.M. Rajković: Geronimus concept of orthogonality for polynomials orthogonal on a circular arc, Rend. Mat. Appl. 10 (1990), 383-390. · Zbl 0719.30006 |
| [36] | R.P. Agarwal, G.V. Milovanović: On an inequality of Bogar and Gustafson, J. Math. Anal. Appl. 146 (1990), 207-216. · Zbl 0701.34004 |
| [37] | G.V. Milovanović, D.S. Mitrinović, Th.M. Rassias: On some extremal problems for algebraic polynomials in L^rnorm, In: Generalized Functions and Convergence (Katowice, 1988), pp. 343-354, World Scientific, Singapore, 1990. |
| [38] | F. Calió, M. Frontini, G.V. Milovanović: Numerical differentiation of analytic functions using quadratures on the semicircle, Comput. Math. Appl. 22 (1991), 99-106. · Zbl 0752.65015 |
| [39] | G.V. Milovanović, Lj.M. Kocić: Integral spline operators in CAGD, Atti Sem. Mat. Fis. Univ. Modena 39 (1991), 433-454. · Zbl 0755.41015 |
| [40] | R.P. Agarwal, G.V. Milovanović: A characterization of the classical orthogonal polynomials, Progress in Approximation Theory (P. Nevai, A. Pinkus, eds.), pp. 1-4, Academic, New York, 1991. |
| [41] | L. Gori, M.L. Lo Cascio, G.V. Milovanović: The s-orthogonal polynomials: a method of construction, In: IMACS Annals on Computing and Applied Mathematics, Vol. 9: Orthogonal Polynomials and Their Applications (C. Brezinski, L. Gori, A. Ronveaux, eds.), pp. 281-285, Baltzer, Basel, 1991. · Zbl 0831.65017 |
| [42] | G.V. Milovanović, Th.M. Rassias: Inequalities connected with trigonometric sums, In: Constantin Carathéodory: An International Tribute, Vol. II (Th.M. Rassias, ed.), pp. 875-941, World Sci. Publishing, Teaneck, NJ, 1991. · Zbl 0754.26008 |
| [43] | G.V. Milovanović: On polynomials orthogonal on the semicircle and applications, J. Comput. Appl. Math. 49 (1993), 193-199. · Zbl 0801.42015 |
| [44] | G.V. Milovanović: Recurrence relation for a class of polynomials associated by the generalized Hermite polynomials, Publ. Inst. Math. (Beograd) (N.S.) 54 (68) (1993), 35-37. · Zbl 0829.33005 |
| [45] | G.V. Milovanović, D.S. Mitrinović, Th.M. Rassias: On some Turán’s extremal problems for algebraic polynomials, In: Topics in Polynomials of One and Several Variables and Their Applications: A Mathematical Legaci of P.L. Chebyshev (1821-1894) (Th.M. Rassias, H.M. Srivastava, A. Yanushauskas, eds.), pp. 403-433, World Scientific, Singapore, 1993. · Zbl 0857.26003 |
| [46] | G.V. Milovanović, I.Ž. Milovanović, L.Z. Marinković: Extremal problems for polynomials and their coefficients, In: Topics in Polynomials of One and Several Variables and Their Applications: A Mathematical Legaci of P.L. Chebyshev (1821-1894) (Th.M. Rassias, H.M. Srivastava, A. Yanushauskas, eds.), pp. 435-455, World Scientific, Singapore, 1993. · Zbl 0857.26004 |
| [47] | G.V. Milovanović, D.S. Mitrinović, Th.M. Rassias: Topics in Polynomials: Extremal Problems, Inequalities, Zeros, World Scientific Publ. Co., Singapore, 1994, xiv + 822 pp. · Zbl 0848.26001 |
| [48] | A. Guessab, G.V. Milovanović: Extremal problems of Markov’s type for some differential operators, Rocky Mt. J. Math. 24 (1994), 1431-1438. · Zbl 0835.26009 |
| [49] | G.V. Milovanović, P.M. Rajković: On polynomials orthogonal on a circular arc, J. Comput. Appl. Math. 51 (1994), 1-13. · Zbl 0801.42014 |
| [50] | Guessab, A.; Milovanović, G. V., of Bernstein’s inequality and classical orthogonal polynomials, J. Math. Anal. Appl., 82, 244-249 (1994) · Zbl 0799.41017 |
| [51] | G.V. Milovanović, A. Guessab: An estimate for coefficients of polynomials in L_2norm, Proc. Am. Math. Soc. 120 (1994), 165-171. · Zbl 0797.26010 |
| [52] | G.V. Milovanović: Summation of series and Gaussian quadratures, In: Approximation and Computation (R.V.M. Zahar, ed.), pp. 459-475, ISNM Vol. 119, Birkhäuser, Basel, 1994. · Zbl 0816.41027 |
| [53] | G.V. Milovanović: Summation of slowly convergent series via quadratures, In: Advances in Numerical Methods and Applications (I.T. Dimov, Bl. Sendov, P.S. Vassilevski, eds.), pp. 154-161, World Scientific, Singapore, 1994. · Zbl 0826.65002 |
| [54] | G.V. Milovanović: Extremal problems for polynomials: old and new results, In: Proceedings Open Problems in Approximation Theory (B. Bojanov, ed.), pp. 138-155, SCT Publishing, Singapore, 1994. |
| [55] | G.V. Milovanović: Some nonstandard types of orthogonality (A survey), Filomat 9 (1995), 517-542. · Zbl 0860.42017 |
| [56] | G.V. Milovanović: Expansions of the Kurepa function, Publ. Inst. Math. (Beograd) (N.S.) 57 (71) (1995), 81-90. · Zbl 0853.33002 |
| [57] | G.V. Milovanović: Summation of series and Gaussian quadratures, II, Numer. Algorithms 10 (1995), 127-136. · Zbl 0827.40001 |
| [58] | G.V. Milovanović: Generalized Hermite polynomials on the radial rays in the complex plane, In: Theory of Functions and Applications, Collection of Works Dedicated to the Memory of M.M. Djrbashian (H.B. Nersessian, ed.), pp. 125-129, Yerevan, Louys Publishing House, 1995. |
| [59] | M.A. Kovačević, G.V. Milovanović: Spline approximation and generalized Turán quadratures, Portugal. Math. 53 (1996), 355-366. · Zbl 0857.41008 |
| [60] | G.V. Milovanović: A sequence of Kurepa’s functions, Scientific Review, Ser. Sci. Eng. 19-20 (1996), 137-146. · Zbl 0899.33001 |
| [61] | W. Gautschi, G.V. Milovanović: S-orthogonality and construction of Gauss-Turán type quadrature formulae, J. Comput. Appl. Math. 86 (1997), 205-218. · Zbl 0890.65021 |
| [62] | G.V. Milovanović, I.Ž. Milovanović: Discrete inequalities of Wirtinger’s type for higher differences, J. Inequal. Appl. 1 (1997), 301-310. · Zbl 0893.26009 |
| [63] | G.V. Milovanović, A.K. Varma: On Birkhoff (0, 3) and (0, 4) quadrature formulae, Numer. Funct. Anal. Optim. 18 (1997), 427-433. · Zbl 0880.41003 |
| [64] | Lj.M. Kocić, G.V. Milovanović: Shape preserving approximations by polynomials and splines, Comput. Math. Appl. 33 (1997), 59-97. · Zbl 0911.65006 |
| [65] | G.V. Milovanović, P.S. Stanimirović: On Moore-Penrose inverse of block matrices and full-rank factorization, Publ. Inst. Math. (Beograd) (N.S.) 62 (76) (1997), 26-40. · Zbl 0949.15010 |
| [66] | G.V. Milovanović: A class of orthogonal polynomials on the radial rays in the complex plane, J. Math. Anal. Appl. 206 (1997), 121-139. · Zbl 0872.33007 |
| [67] | G.V. Milovanović: Integral inequalities for algebraic polynomials, In: General Inequalities 7 (C. Bandle, ed.), pp. 17-25, ISNM Vol. 123, Birkhäuser, Basel, 1997. · Zbl 0894.26006 |
| [68] | G.V. Milovanović: Orthogonal polynomial systems and some applications, In: Inner Product Spaces and Applications (Th.M. Rassias, ed.), pp. 115-182, Pitman Res. Notes Math. Ser. 376, Longman, Harlow, 1997. · Zbl 0894.33003 |
| [69] | B. Danković, G.V. Milovanović, S.Lj. Rančić: Malmquist and Müntz orthogonal systems and applications, In: Inner Product Spaces and Applications (Th.M. Rassias, ed.), pp. 22-41, Pitman Res. Notes Math. Ser. 376, Longman, Harlow, 1997. · Zbl 0890.33006 |
| [70] | G.V. Milovanović: S-orthogonality and generalized Turán quadratures: Construction and applications, In: Approximation and Optimization, Vol. I (Cluj-Napoca, 1996) (D.D. Stancu, Gh. Coman, W.W. Breckner, P. Blaga, eds.), pp. 91-106, Transilvania, Cluj-Napoca, Romania, 1997. · Zbl 0883.65014 |
| [71] | G.V. Milovanović: Orthogonal polynomials on the radial rays and an electrostatic interpretation of zeros, Publ. Inst. Math. (Beograd) (N.S.) 64 (78) (1998), 53-68. · Zbl 0973.33003 |
| [72] | G.V. Milovanović, B. Danković, S.Lj. Rančić: Some Müntz orthogonal systems, J. Comput. Appl. Math. 99 (1998), 299-310. · Zbl 0933.42018 |
| [73] | G.V. Milovanović: Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures, Comput. Math. Appl. 36 (1998), 19-39. · Zbl 0932.65023 |
| [74] | G.V. Milovanović: Life and inequalities: D. S. Mitrinović (1908-1996), In: Recent Progress in Inequalities (G.V. Milovanović, ed.), Mathematics and Its Applications, Vol. 430, pp. 1-10, Kluwer, Dordrecht, 1998. · Zbl 0896.01014 |
| [75] | G.V. Milovanović, I.Ž. Milovanović: Discrete inequalities of Wirtinger’s type, In: Recent Progress in Inequalities (G.V. Milovanovic, ed.), Mathematics and Its Applications, Vol. 430, pp. 289-308, Kluwer, Dordrecht, 1998. · Zbl 0907.26015 |
| [76] | G.V. Milovanović: Extremal problems for restricted polynomial classes in L_pnorm, In: Approximation Theory: In Memory of A.K. Varma (N.K. Govil, R.N. Mohapatra, Z. Nashed, A. Sharma, J. Szabados, eds.), Monogr. Textbooks Pure Appl. Math., Vol. 212, pp. 405-432, Marcel Dekker, New York, 1998. · Zbl 0906.30003 |
| [77] | G.V. Milovanović, Th.M. Rassias: New developments on Turán’s extremal problems for polynomials, In: Approximation Theory: In Memory of A.K. Varma (N.K. Govil, R.N. Mohapatra, Z. Nashed, A. Sharma, J. Szabados, eds.), Monogr. Textbooks Pure Appl. Math., Vol. 212, pp. 433-447, Marcel Dekker, New York, 1998. · Zbl 0911.26008 |
| [78] | G.V. Milovanović: Müntz orthogonal polynomials and their numerical evaluation, In: Applications and Computation of Orthogonal Polynomials (W. Gautschi, G.H. Golub, and G. Opfer, eds.), pp. 179-202, ISNM, Vol. 131, Birkhäuser, Basel, 1999. · Zbl 0941.65013 |
| [79] | G.V. Milovanović: A note to the paper “On a new class of polynomials” by C.L. Parihar and S.K. Harne, J. Indian Acad. Math. 21 (1999), 277-278. · Zbl 0980.33005 |
| [80] | G.V. Milovanović, D.Dj. Tošić: An extremal problem for the length of algebraic polynomials, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. 10 (1999), 31-36. · Zbl 0947.41005 |
| [81] | G.V. Milovanović: Extremal problems and inequalities of Markov-Bernstein type for polynomials, In: Analytic and Geometric Inequalities and Applications (Th.M. Rassias, H.M. Srivastava, eds.), Mathematics and Its Applications, Vol. 478, pp. 245-264, Kluwer, Dordrecht, 1999. · Zbl 0982.26011 |
| [82] | X. Li, I. Gutman, G.V. Milovanović: The β-polynomials of complete graphs are real, Publ. Inst. Math. (Beograd) (N.S.) 67 (81) (2000), 1-6. · Zbl 0946.05068 |
| [83] | G.V. Milovanović: Dragoslav S. Mitrinović (1908-1995), In: Lives and Work of the Serbian Scientists, Biographies and Bibliographies, Vol. 6 (M. Sarić, ed.), pp. 519-581, Serbian Academy of Sciences and Arts, Belgrade, 2000 (Serbian). |
| [84] | G.V. Milovanović: Some generalized orthogonal systems and their connections, In: Proceedings of the Symposium “Contemporary Mathematics” (Belgrade, 1998) (N. Bokan, ed.), pp. 181-200, Faculty of Mathematics, University of Belgrade, 2000. · Zbl 1052.42023 |
| [85] | G.V. Milovanović, Th.M. Rassias: Inequalities for polynomial zeros, In: Survey on Classical Inequalities (Th. M. Rassias, ed.), Mathematics and Its Applications, Vol. 517, pp. 165-202, Kluwer, Dordrecht, 2000. · Zbl 1029.26005 |
| [86] | G.V. Milovanović, Th.M. Rassias: Distribution of zeros and inequalities for zeros of algebraic polynomials, In: Functional Equations and Inequalities (Th. M. Rassias, ed.), Mathematics and Its Applications, Vol. 518, pp. 171-204, Kluwer, Dordrecht, 2000. · Zbl 0979.26005 |
| [87] | G.V. Milovanović, A.S. Cvetković: Note on a construction of weights in Gauss-type quadrature rule, Facta Univ. Ser. Math. Inform. 15 (2000), 69-83. · Zbl 1035.65027 |
| [88] | G.V. Milovanović: Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, Numerical analysis 2000, Vol. V, Quadrature and orthogonal polynomials (W. Gautschi, F. Marcellán, and L. Reichel, eds.), J. Comput. Appl. Math. 127 (2001), 267-286. · Zbl 0970.65023 |
| [89] | G.V. Milovanović: Contribution and influence of S.B. Prešić to numerical factorization of polynomials, In: A Tribute to S. B. Prešić (Papers Celebrating his 65th Birthday), pp. 47-56, Mathematics Institut SANU, Belgrade, 2001. · Zbl 1005.65044 |
| [90] | R.P. Agarwal, G.V. Milovanović: Extremal problems, inequalities, and classical orthogonal polynomials, Appl. Math. Comput. 128 (2002), 151-166. · Zbl 1085.33007 |
| [91] | G. Mastroianni, G.V. Milovanović: Weighted integration of periodic functions on the real line, Appl. Math. Comput. 128 (2002), 365-378. · Zbl 1072.65033 |
| [92] | G.V. Milovanović: Orthogonal polynomials on the radial rays in the complex plane and applications, Rend. Circ. Mat. Palermo, Serie II, Suppl. 68 (2002), 65-94. · Zbl 1019.33005 |
| [93] | G.V. Milovanović, M.M. Spalević: Quadrature formulae connected to σ-orthogonal polynomials, J. Comput. Appl. Math. 140 (2002), 619-637. · Zbl 0997.65045 |
| [94] | G.V. Milovanović, A. Petojević: Generalized factorial functions, numbers and polynomials, Math. Balkanica (N.S.) 16 (2002), 113-130. · Zbl 1064.11022 |
| [95] | G.V. Milovanović, A.S. Cvetković: Numerical integration of functions with logarithmic end point singularity, Facta Univ. Ser. Math. Inform. 17 (2002), 57-74. · Zbl 1084.65026 |
| [96] | G. Mastroianni, G.V. Milovanović: Weighted interpolation of functions with isolated singularities, In: Approximation Theory: A volume dedicated to Blagovest Sendov (B. Bojanov, ed.), pp. 310-341, DARBA, Sofia, 2002. · Zbl 1025.41004 |
| [97] | G.V. Milovanović, M.M. Spalević: Error bounds for Gauss-Turán quadrature formulae of analytic functions, Math. Comp. 72 (2003), 1855-1872. · Zbl 1030.41018 |
| [98] | G.V. Milovanović, M. Stanić: Construction of multiple orthogonal polynomials by discretized Stieltjes-Gautschi procedure and corresponding Gaussian quadrature, Facta Univ. Ser. Math. Inform. 18 (2003), 9-29. · Zbl 1052.33007 |
| [99] | G.V. Milovanović, A.S. Cvetković: An application of little 1∕q-Jacobi polynomials to summation of certain series, Facta Univ. Ser. Math. Inform. 18 (2003), 31-46. · Zbl 1052.33009 |
| [100] | L.N. Djordjević, D.M. Milošević, G.V. Milovanović, H.M. Srivastava: Some finite summation formulas involving multivariable hypergeometric polynomials, Integral Transform. Spec. Funct. 14 (2003), 349-361. · Zbl 1040.33008 |
| [101] | G.V. Milovanović, A.S. Cvetković: Complex Jacobi matrices and quadrature rules, Filomat 17 (2003), 117-134. · Zbl 1056.65023 |
| [102] | G.V. Milovanović, A.S. Cvetković: Numerical construction of the generalized Hermite polynomials, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. 14 (2003), 49-63. · Zbl 1106.41030 |
| [103] | A.S. Cvetković, G.V. Milovanović: The Mathematica Package “OrthogonalPolynomials”, Facta Univ. Ser. Math. Inform. 19 (2004), 17-36. · Zbl 1081.33001 |
| [104] | G.V. Milovanović, A.S. Cvetković: Uniqueness and computation of Gaussian interval quadrature formula for Jacobi weight function, Numer. Math. 99 (2004), 141-162. · Zbl 1063.65022 |
| [105] | N.P. Cakić, G.V. Milovanović: On generalized Stirling numbers and polynomials, Math. Balkanica (N.S.) 18 (2004), 241-248. · Zbl 1177.05014 |
| [106] | G.V. Milovanović, M. Stanić: Multiple orthogonal polynomials on the semicircle and corresponding quadratures of Gaussian type, Math. Balkanica (N.S.) 18(2004), 373-387. · Zbl 1090.42015 |
| [107] | G.V. Milovanović, A.S. Cvetković: Convergence of Gaussian quadrature rules for approximation of certain series, East J. Approx. 10 (2004), 171-187. · Zbl 1113.41035 |
| [108] | G.V. Milovanović, M.M. Spalević: Error analysis in some Gauss-Turán-Radau and Gauss-Turán-Lobatto quadratures for analytic functions, J. Comput. Appl. Math. 164/165 (2004), 569-586. · Zbl 1038.41012 |
| [109] | G.V. Milovanović, M.M. Spalević, A.S. Cvetković: Calculation of Gaussian type quadratures with multiple nodes, Math. Comput. Model. 39 (2004), 325-347. · Zbl 1049.65019 |
| [110] | G.V. Milovanović, A.S. Cvetković: Standard and non-standard quadratures of Gaussian type, In: Approximation Theory: A volume dedicated to Borislav Bojanov (D. K. Dimitrov, G. Nikolov, R. Uluchev, eds.), pp. 186-200, Marin Drinov Academic Publishing House, Sofia, 2004. |
| [111] | G.V. Milovanović, A.S. Cvetković: Orthogonal polynomials related to the oscillatory-Chebyshev weight function, Bull. Cl. Sci. Math. Nat. Sci. Math. 30 (2005), 47-60. · Zbl 1249.30010 |
| [112] | G.V. Milovanović, A.S. Cvetković: Gaussian type quadrature rules for Müntz systems, SIAM J. Sci. Comput. 27 (2005), 893-913. · Zbl 1096.41023 |
| [113] | G.V. Milovanović, M. Stanić: Multiple orthogonality and quadratures of Gaussian type, Rend. Circ. Mat. Palermo, Serie II, Suppl. 76 (2005), 75-90. · Zbl 1139.65018 |
| [114] | Milovanović, G. V.; Cvetković, A. S., Some inequalities for symmetric functions and an application to orthogonal polynomials, J. Math. Anal. Appl., 311, 191-208 (2005) · Zbl 1072.05053 |
| [115] | G.V. Milovanović, M.M. Spalević: An error expansion for some Gauss-Turán quadratures and L^1-estimates of the remainder term, BIT 45 (2005), 117-136. · Zbl 1082.41022 |
| [116] | G.V. Milovanović, A.S. Cvetković: Remarks on “Orthogonality of some sequences of the rational functions and Müntz polynomials”, J. Comput. Appl. Math. 173 (2005), 383-388. · Zbl 1068.33015 |
| [117] | Milovanović, G. V.; Spalević, M. M., Bounds of the error of Gauss-Turán-type quadratures, J. Comput. Appl. Math., 178, 333-346 (2005) · Zbl 1071.41028 |
| [118] | G.V. Milovanović, A.S. Cvetković: Orthogonal polynomials and Gaussian quadrature rules related to oscillatory weight functions, J. Comput. Appl. Math. 179 (2005), 263-287. · Zbl 1074.41026 |
| [119] | G.V. Milovanović, A.S. Cvetković: Gauss-Laguerre interval quadrature rule, J. Comput. Appl. Math. 182 (2005), 433-446. · Zbl 1075.65037 |
| [120] | G.V. Milovanović, A.S. Cvetković, M.M. Matejić: On positive definiteness of some linear functionals, Stud. Univ. Babeş-Bolyai Math. 51 (2006), no. 4, 157-166. · Zbl 1193.41031 |
| [121] | Milovanović, G. V.; Spalević, M. M., Gauss-Turán quadratures of Kronrod type for generalized Chebyshev weight functions, Calcolo, 43, 171-195 (2006) · Zbl 1137.65014 |
| [122] | Milovanović, G. V.; Spalević, M. M., Quadrature rules with multiple nodes for evaluating integrals with strong singularities, J. Comput. Appl. Math., 189, 689-702 (2006) · Zbl 1086.41014 |
| [123] | G.V. Milovanović, A.S. Cvetković: Gauss-Radau and Gauss-Lobatto interval quadrature rules for Jacobi weight function, Numer. Math. 102 (2006), 523-542. · Zbl 1114.65030 |
| [124] | G.V. Milovanović, A.S. Cvetković, M.P. Stanić: Two conjectures for integrals with oscillatory integrands, Facta Univ. Ser. Math. Inform. 22 (2007), 77-90. · Zbl 1142.65027 |
| [125] | G. Mastroianni, G.V. Milovanović: Polynomial approximation on unbounded intervals by Fourier sums, Facta Univ. Ser. Math. Inform. 22 (2007), 155-164. · Zbl 1249.41016 |
| [126] | D. Dolićanin, G.V. Milovanović, V.G. Romanovski: Linearizablity conditions for a cubic system, Appl. Math. Comput. 190 (2007), 937-945. · Zbl 1133.34331 |
| [127] | G.V. Milovanović, A.S. Cvetković: Gauss-Hermite interval quadrature rule, Comput. Math. Appl. 54 (2007), 544-555. · Zbl 1139.65017 |
| [128] | G.V. Milovanović, A.S. Cvetković, M.P. Stanić: Gaussian quadratures for oscillatory integrands, Appl. Math. Lett. 20 (2007), 853-860. · Zbl 1132.41339 |
| [129] | G.V. Milovanović, M.M. Spalević: Monotonicity of the error term in Gauss-Turán quadratures for analytic functions, ANZIAM J. 48 (2007), 567-581. · Zbl 1134.41014 |
| [130] | G.V. Milovanović, A.S. Cvetković: A note on three-step iterative methods for nonlinear equations, Stud. Univ. Babeş-Bolyai Math. 52 (2007), no. 3, 137-146. · Zbl 1164.65017 |
| [131] | G.V. Milovanović, A.S. Cvetković, Z.M. Marjanović: Connection of semi-integer trigonometric orthogonal polynomials with Szegő polynomials, 394-401, Lecture Notes in Comput. Sci., 4310, Springer, Berlin, 2007. · Zbl 1137.42313 |
| [132] | G.V. Milovanović, A.S. Cvetković, M.P. Stanić: Trigonometric orthogonal systems and quadrature formulae with maximal trigonometric degree of exactness, 402-409, Lecture Notes in Comput. Sci., 4310, Springer, Berlin, 2007. · Zbl 1137.41344 |
| [133] | G.V. Milovanović, A.S. Cvetković: Logarithmic modification of the Jacobi weight function, Stud. Univ. Babeş-Bolyai Math. 52 (2007), no. 4, 143-153. · Zbl 1174.65008 |
| [134] | Milovanović, G. V.; Spalević, M. M., A note on the bounds of the error of Gauss-Turán-type quadratures, J. Comput. Appl. Math., 200, 276-282 (2007) · Zbl 1105.41025 |
| [135] | G. Mastroianni, G.V. Milovanović: Interpolation Processes - Basic Theory and Applications, Springer Monographs in Mathematics, Springer, Berlin, 2008, xiv + 444 pp. · Zbl 1154.41001 |
| [136] | G.V. Milovanović, A.S. Cvetković, M.P. Stanić: Trigonometric orthogonal systems and quadrature formulae, Comput. Math. Appl. 56 (2008), 2915-2931. · Zbl 1165.65325 |
| [137] | G.V. Milovanović: Quadrature processes – development and new directions, Bull. Cl. Sci. Math. Nat. Sci. Math. 33 (2008), 11-41. · Zbl 1249.41074 |
| [138] | A.S. Cvetković, G.V. Milovanović: Positive definite solutions of some matrix equations, Linear Algebra Appl. 429 (2008), 2401-2414. · Zbl 1154.15018 |
| [139] | Milovanović, G. V.; Cvetković, A. S.; Stanić, M. P., Explicit formulas for five-term recurrence coefficients of orthogonal trigonometric polynomials of semi-integer degree, Appl. Math. Comput., 198, 559-573 (2008) · Zbl 1139.42006 |
| [140] | G.V. Milovanović, M.M. Spalević, M.S. Pranić: Maximum of the modulus of kernels in Gauss-Turán quadratures, Math. Comp. 77 (2008), 985-994. · Zbl 1149.41011 |
| [141] | G.V. Milovanović, M.M. Spalević, M.S. Pranić: On the remainder term of Gauss-Radau quadratures for analytic functions, J. Comput. Appl. Math. 218 (2008), 281-289. · Zbl 1147.41009 |
| [142] | G.V. Milovanović, A.S. Cvetković, M.P. Stanić: Orthogonal polynomials for modified Gegenbauer weight and corresponding quadratures, Appl. Math. Letters 22 (2009), 1189-1194. · Zbl 1173.42319 |
| [143] | G.V. Milovanović, A.S. Cvetković, M.P. Stanić: Quadrature formulae with multiple nodes and a maximal trigonometric degree of exactness, Numer. Math. 112 (2009), 425-448. · Zbl 1173.65017 |
| [144] | G.V. Milovanović, A.S. Cvetković: Numerical integration with complex Jacobi weight function, 20-31, Lecture Notes in Comput. Sci., 5434, Springer, Berlin, 2009. · Zbl 1233.65024 |
| [145] | G.V. Milovanović, M.M. Spalević, M.S. Pranić: Error estimates for Gauss-Turán quadratures and their Kronrod extensions, IMA J. Numer. Anal. 29 (2009), 486-507. · Zbl 1204.41023 |
| [146] | G.V. Milovanović, M.M. Spalević, M.S. Pranić: Error estimates for Gaussian quadratures of analytic functions, J. Comput. Appl. Math. 233 (2009), 802-807. · Zbl 1181.41048 |
| [147] | G. Mastroianni, G.V. Milovanović: Some numerical methods for second kind Fredholm integral equation on the real semiaxis, IMA J. Numer. Anal. 29 (2009), 1046-1066. · Zbl 1180.65177 |
| [148] | G.V. Milovanović, A.S. Cvetković: Nonstandard Gaussian quadrature formulae based on operatror values, Adv. Comput. Math. 32 (2010), 431-486. · Zbl 1190.65042 |
| [149] | G. Mastroianni, G.V. Milovanović: Well-conditioned matrices for numerical treatment of Fredholm integral equations of the second kind, Numer. Linear Algebra Appl. 16 (2009), 995-1011. · Zbl 1224.65305 |
| [150] | G.V. Milovanović, M.M. Spalević, M.S. Pranić: Bounds of the error of Gauss-Tur-type quadratures, II, Appl. Numer. Math. 60 (2010), 1-9. · Zbl 1200.41034 |
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