Found 202 Documents (Results 1–100)
On the combination of Lebesgue and Riemann integrals in theory of convolution equations. (English. Russian original) Zbl 1533.45001
Theor. Math. Phys. 218, No. 1, 68-74 (2024); translation from Teor. Mat. Fiz. 218, No. 1, 80-87 (2024).
A new expression for the Coulomb potential corresponding to the product of two exponential functions based on the properties of the integral representations of the Bessel functions. (English) Zbl 1525.78001
MSC:
78A25
On the convergence of weighted mean summable improper integrals over \(\mathbb{R}_{\geq 0}\). (English) Zbl 1521.40002
Reviewer: Yilmaz Erdem (Aydin)
Some additions to a family of sums and integrals related to Hurwitz’ zeta function(s), Euler polynomials and Euler numbers. (English) Zbl 1509.11080
Reviewer: Giovanni Coppola (Napoli)
Some inequalities and numerical results estimating error of approximation for tensor product kind bivariate quantum beta-type operators and pertaining to GBS variant. (English) Zbl 1506.41008
Differential convergence criteria for operator improper integrals and series. (English) Zbl 1500.40002
Ukr. Math. J. 73, No. 9, 1445-1461 (2022) and Ukr. Mat. Zh. 73, No. 9, 1245-1259 (2021).
Ramanujan’s master theorem and two formulas for the zero-order Hankel transform. (English) Zbl 1496.44006
Reviewer: Lalit Mohan Upadhyaya (Dehradun)
Certain unified integrals associated with product of the general class of polynomials and incomplete \(I\)-functions. (English) Zbl 1499.33054
Improper integral. II. (English) Zbl 1494.68299
Improper integral. I. (English) Zbl 1494.68298
The convergence condition for improper short integrals in terms of Newton polytopes. (Russian. English summary) Zbl 1509.81559
A generalization of Abel and Dirichlet criteria. (English. Ukrainian original) Zbl 1454.26010
Ukr. Math. J. 72, No. 4, 607-622 (2020); translation from Ukr. Mat. Zh. 72, No. 4, 527-539 (2020).
Reviewer: Constantin Niculescu (Craiova)
Mathematics of wavefields. (English) Zbl 1428.35555
Dutta, Hemen (ed.) et al., Applied mathematical analysis: theory, methods, and applications. Cham: Springer. Stud. Syst. Decis. Control 177, 187-231 (2020).
Tauberian conditions under which convergence follows from Cesàro summability of double integrals over \(\mathbb{R}_+^2\). (English) Zbl 1496.40018
About the convergence type of improper integrals defining fractional derivatives. (English) Zbl 1429.26008
MSC:
26A33
Enhancing Cas improper integrals computations using extensions of the residue theorem. (English) Zbl 1427.30065
An improved Yuan-Agrawal method with rapid convergence rate for fractional differential equations. (English) Zbl 1470.74068
An improper integral, the beta function, the Wallis ratio, and the Catalan numbers. (English) Zbl 1440.11023
On two integrability methods. (English) Zbl 1416.26015
A comparative study of Gauss-Laguerre quadrature and an open type mixed quadrature by evaluating some improper integrals. (English) Zbl 1424.65019
Aizerman’s problem in absolute stability theory for regulated systems. (English. Russian original) Zbl 1396.93096
Sb. Math. 209, No. 6, 780-801 (2018); translation from Mat. Sb. 209, No. 6, 3-24 (2018).
Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations. (English) Zbl 1473.45008
Bernstein polynomial of \(2\)-Puiseux pairs irreducible plane curve singularities. (English) Zbl 1444.14047
On equipartition of energy and integrals of generalized Langevin equations with generalized Rouse kernel. (English) Zbl 1366.82042
Yano’s conjecture for two-Puiseux-pair irreducible plane curve singularities. (English) Zbl 1373.14020
Reviewer: Aleksandr G. Aleksandrov (Moskva)
On the convergence of double Fourier integrals of functions of bounded variation on \(\mathbb{R}^2\). (English) Zbl 1399.26017
On \(|C,1|_k\) integrability of improper integrals. (English) Zbl 1386.40002
Reviewer: Şebnem Yıldız (Kırşehir)
The computation and unified expression of the higher order Dirichlet-type integration. (Chinese. English summary) Zbl 1374.30096
MSC:
30E20
A course in analysis. Volume II: Differentiation and integration of functions of several variables, vector calculus. (English) Zbl 1401.26001
Hackensack, NJ: World Scientific (ISBN 978-981-3140-95-0/hbk; 978-981-3140-96-7/pbk). xx, 768 p. (2016).
Reviewer: Sorin-Mihai Grad (Vienna)
A course in analysis. Volume I: Introductory calculus, analysis of functions of one real variable. (English) Zbl 1327.26012
Hackensack, NJ: World Scientific (ISBN 978-981-4689-08-3/hbk; 978-981-4689-09-0/pbk). xxiii, 744 p. (2016).
Reviewer: Sorin-Mihai Grad (Chemnitz)
Aspects of differential geometry I. (English) Zbl 1354.53001
Reviewer: Gabriel Eduard Vilcu (Ploieşti)
Pointwise convergence of double Fourier integrals of functions of bounded variation over \(\mathbb R^2\). (English) Zbl 1321.42020
To absolute stability of regular systems in the simple critical case. (Russian. English summary) Zbl 1310.34087
Existence and nonexistence of solutions on opposing mixed convection problems in boundary layer theory. (English) Zbl 1297.76062
Alternative proofs of some classical type Tauberian theorems for the Cesàro summability of integrals. (English) Zbl 1255.40006
One-sided Tauberian conditions for \((C,1)\) summability method of integrals. (English) Zbl 1255.40002
Convergence tests on constant Dirichlet series. (English) Zbl 1251.11090
Reviewer: Jonas Šiaulys (Vilnius)
Probability of large deviations of sums of random processes from Orlicz space. (English) Zbl 1221.65011
Three equivalent hypotheses on one estimation of integrals. (Russian. English summary) Zbl 1240.32033
Reviewer: Svetlana A. Grishina (Ulyanovsk)
Some results on integrals computation and applications to logsine and loggamma integrals. (English) Zbl 1212.26054
Properties and inequalities of generalized \(k\)-gamma, beta and zeta functions. (English) Zbl 1202.33003
Reviewer: Cristinel Mortici (Targoviste)
Henstock integral and Dini-Riemann theorem. (English) Zbl 1198.26015
Reviewer: Jitan Lu (Singapore)
On the diamond-alpha Riemann integral and mean value theorems on time scales. (English) Zbl 1183.26041
An effective semi analytical method for calculation of one integral’s class. (Russian. English summary) Zbl 1164.41005
Reviewer: Sergei Georgievich Zhuravlev (Moskva)
Functions not first-return integrable. (English) Zbl 1152.26007
Reviewer: Zbigniew Grande (Bydgoszcz)
Dynamical control of accuracy using the stochastic arithmetic to estimate double and improper integrals. (English) Zbl 1143.93342
Analogue of Dini-Riemann theorem for non-absolutely convergent integrals. (English) Zbl 1150.26004
Reviewer: Jitan Lu (Singapore)
Transformations of infinitely divisible distributions via improper stochastic integrals. (English) Zbl 1134.60013
Reviewer: Maria Stolarczyk (Katowice)
Statistical extensions of some classical Tauberian theorems in nondiscrete setting. (English) Zbl 1112.40004
Monotonicity and non-monotonicity of domains of stochastic integral operators. (English) Zbl 1106.60047
Additive processes and stochastic integrals. (English) Zbl 1103.60051
Reviewer: Jacques Franchi (Strasbourg)
Evaluation of definite integrals using a particular class of Laplace transforms. (English) Zbl 1104.44002
Reviewer: Rashmi Jain (Jaipur)
On a class of sequences defined by using Riemann integral. (English) Zbl 1150.26311
Reviewer: Radu Miculescu (Bucureşti)
Improper Riemann integral and Henstock integral in \(\mathbb R^n\). (English. Russian original) Zbl 1079.26007
Math. Notes 78, No. 2, 228-233 (2005); translation from Mat. Zametki 78, No. 2, 251-258 (2005).
On sequences of points for the evaluation of improper integrals by the quasi Monte Carlo methods. (Russian, English) Zbl 1114.65028
Zh. Vychisl. Mat. Mat. Fiz. 45, No. 3, 411-415 (2005); translation in Comput. Math. Math. Phys. 45, No. 3, 394-398 (2005).
Reviewer: Andrei Zemskov (Moskva)
Necessary and sufficient Tauberian conditions in the case of weighted mean summable integrals over \(R_+\). II. (English) Zbl 1089.40003
Handbook of computational methods for integration. With CD-ROM. (English) Zbl 1083.65027
Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-428-2/hbk; 978-0-203-49030-3/ebook). xxii, 598 p. (2005).
Reviewer: Catterina Dagnino (Torino)
Evaluations of the improper integrals \(\int_0^\infty[\sin^{2m}(\alpha x)]/ (x^{2n})\,dx\) and \(\int_0^\infty [\sin^{2m+1} (\alpha x)]/(x^{2n+1})\,dx\). (English) Zbl 1138.26305
Evaluations of the improper integrals \(\int^\infty_0 \frac{\sin^{2m}(\alpha x)} {x^{2n}}dx\) and \(\int^\infty_0 \frac{\sin^{2m+1}(\alpha x)} {x^{2n+1}}dx\). (English) Zbl 1060.26003
Quasi-Monte Carlo algorithms for unbounded, weighted integration problems. (English) Zbl 1072.65001
Reviewer: Michael Junk (Konstanz)
Necessary and sufficient Tauberian conditions in the case of weighted mean summable integrals over \(\mathbb R_+\). (English) Zbl 1046.40005
Reviewer: Vasile Berinde (Baia Mare)
Examples and theorems in analysis. (English) Zbl 1058.26001
London: Springer (ISBN 1-85233-493-2/pbk). x, 287 p. (2004).
Reviewer: Petr Gurka (Praha)
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