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Approximation theory and its applications. Proceedings of the international conference dedicated to the memory of Vladislav Kirillovich Dzyadyk held in Kiev, Ukraine, May 27–31, 1999. (Teoriya nablyzhennya funktsij ta ïï zastosuvannya.) (English) Zbl 1001.00026

Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta ïï Zastosuvannya. 31. Kyïv: Instytut Matematyky NAN Ukraïny. 495 p. (2000).

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The articles of this volume will be reviewed individually.
Indexed articles:
Abdullayev, F. G., Uniform convergence of the generalized Bieberbach polynomials in domains of complex plane, 5-18 [Zbl 1025.30020]
Antonova, T. M.; Bodnar, D. I., Domains of convergence of branching continued fractions of a special type, 19-32 [Zbl 1022.40004]
Arestov, V. V.; Babenko, A. G.; Deikalova, M. V., The Delsarte problem connected with the spherical 1/3-code, 33-48 [Zbl 1030.94050]
Blatt, H.-P.; Kovacheva, R. K., On sign changes in polynomial \(L_1\)-approximation, 49-55 [Zbl 1028.41006]
Borodachev, S. V., On comparison of “interval” quadrature formulae involving derivatives with the simple “interval” formulae, 56-64 [Zbl 1029.65021]
Buslaeva, S. F., On the Perron theorem for compositions of linear-fractional transformations, 65-71 [Zbl 1024.30002]
Dai, Feng; Wang, Kunyang, On the Fourier-Laplace a. e. convergence, 72-81 [Zbl 1029.42020]
Dmytryshyn, R. I.; Baran, O. E., Types of branching continued fractions corresponding to folded power series, 82-92 [Zbl 1022.40005]
Dovgosheĭ, O., On orthogonal polynomials in the Hardy space, 93-102 [Zbl 1024.30004]
Dzyadyk, Yu. V., Explicit tensor formulae of Lanczos-Dzyadyk polynomials for the system \(B(x)\vec{y}^{'}=A(x)\vec{y}\), 103-121 [Zbl 1029.65068]
Fedorenko, A. S., Rate of convergence of the Zygmund sums in the classes \(C_\infty^{\overline{\psi}}\), 122-127 [Zbl 1029.42001]
Fedorenko, O. S., On trigonometric widths of functions belonging to the classes \(L_{\beta,p}^\psi\), 128-134 [Zbl 1029.42002]
Goēnko, N. P., On the convergence of expansions of Lauricella hypergeometric functions into branched continued fractions., 135-143 [Zbl 1068.33023]
Golub, A. P., Generalized moment representations and Pade approximants, 144-160 [Zbl 1023.41013]
Gonska, H. H., On the composition and decomposition of positive linear operators, 161-180 [Zbl 1033.47027]
Kharkevich, Yu. I., On approximation of \((\psi,\beta)\)-differentiable functions defined on the whole axis by the operators generated by rectangular \(\lambda\)-methods of summation of integrals, 181-189 [Zbl 1028.42001]
Ivaschuk, Ya. G., Algorithms for construction best approximations of functions by interpolation classes, 190-200 [Zbl 1028.41018]
Janchuk, P. S., The computing schemes for solving nonlinear boundary value problems for ordinary differential equations, 201-214 [Zbl 1029.65083]
Jiang, Yanjie; Liu, Yongping, Average widths and optimal recovery of some classes of multivariate smooth functions, 215-226 [Zbl 1027.41027]
Zhigallo, K. M., On approximation of classes of \((\psi,\beta)\)-differentiable functions by biharmonic Poisson operators, 227-236 [Zbl 1030.31003]
Karupu, O. V., On certain properties of smoothness moduli for conformal mappings, 237-242 [Zbl 1024.30006]
Kashpirovskyj, O. I., Approximation for solutions of differential equations with sectorial operators as coefficients, 243-249 [Zbl 1033.47050]
Kobza, J., Optimal spline interpolation, 250-259 [Zbl 1035.41006]
Konsevich, N. M., Approximation of classes \(L_{\beta,p}^\psi\) of multivariable functions by trigonometric polynomials in the uniform metric, 260-268 [Zbl 1029.42006]
Kovtunets, V. V., The algorithm for the best uniform nonlinear approximation, 269-281 [Zbl 1028.41019]
Kuchmins’ka, Kh., On the convergence of two-dimensional continued fractions, 282-296 [Zbl 1024.30003]
Kuznetsova, O. I., Integrability of a class of \(N\)-variate trigonometric series, 297-305 [Zbl 1028.42009]
Madych, W. R., Three spline vignettes with a prelude, 306-319 [Zbl 1023.41007]
Malyutin, K. G.; Kolomiets, S. V., Generalized canonical products in the upper half-plane, 320-336 [Zbl 1150.30360]
Malyutina, T. I., Estimates for integrals of special form, 328-336 [Zbl 1024.30014]
Mania, S.; Yushchenko, L. P., Convex pointwise polynomial approximation, 337-343 [Zbl 1028.41012]
Manzij, O. S., Investigation of the decomposition of the ratio of hypergeometric Appell \(F_3\) functions into a branching continued fraction, 344-353 [Zbl 1024.33010]
Nosenko, Yu. L., Regularity of Bernstein-Rogosinski-type mean for double Fourier series, 354-361 [Zbl 1028.42010]
Ochakovskaya, O. A., On the problem of support for functions with zero ball means, 362-365 [Zbl 1031.26015]
Ohrimenko, S. A., Some problems of moduli in multiply connected domains on a Riemann sheet of the Möbius loop, 366-373 [Zbl 1024.30011]
Popov, B.; Laushnyk, O., Selection of iterative algorithm and starting approximation for evaluation of functions, 374-383 [Zbl 1029.65018]
Romanyuk, A. S., Linear widths for classes \(B_{p,\theta}^r\) of periodic multivariable functions, 384-395 [Zbl 1029.42007]
Rukaskov, V. I.; Novikov, O. A.; Chajchenko, S. O., Approximation of the classes \(C_\infty^{\overline {\psi}}\) by means of de la Vallée Poussin, 396-406 [Zbl 1028.42002]
Savchuk, M. V., The Lebesgue-Landau inequality for functions holomorphic in the polydisk \(D^N\), \(N\geq 1\), 407-416 [Zbl 1029.32500]
Savchuk, V. V., Asymptotics of interpolating Hermite polynomials for bounded holomorphic functions, 417-425 [Zbl 1025.30029]
Shvetsova, A. M., Approximation by partial sums of the Fourier and Taylor series and the best approximation of some classes of functions, 426-435 [Zbl 1028.42003]
Smirnov, G. S.; Smirnov, R. G., Theory of best restricted ranges approximation revised: a characterization theorem, 436-445 [Zbl 1150.41312]
Stepanets, O. I.; Serdyuk, A. S., An estimate for the remainder of the approximation by interpolating trigonometric polynomials in classes of indefinitely differentiable functions, 446-460 [Zbl 1028.42005]
Trigub, R. M., One-sided and comonotonic approximations by algebraic polynomials with positive coefficients, 461-476 [Zbl 1028.41007]
Wronicz, Z., On the linear independence of translates of a Chebyshevian box spline, 477-481 [Zbl 1028.41010]
Korenovskij, A. A., On a generalization of the Gurov-Reshetnyak inequality, 482-491 [Zbl 1031.26016]

MSC:

00B25 Proceedings of conferences of miscellaneous specific interest
41-06 Proceedings, conferences, collections, etc. pertaining to approximations and expansions
42-06 Proceedings, conferences, collections, etc. pertaining to harmonic analysis on Euclidean spaces
00B30 Festschriften

Biographic References:

Dzyadyk, Vladislav Kirillovich