On expansions of functions of two variables in mixed Fourier-Jacobi series and their application for estimation of errors of cubature formulas

被引：0

作者：

Abilov V.A. ^{[1
]}

Dzhalaeva G.A. ^{[1
]}

Kerimov M.K. ^{[2
]}

机构：

[1] Dagestan State University, Makhachkala 367025

[2] Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow 119991

来源：

Computational Mathematics and Mathematical Physics | 2007年 / 47卷 / 8期

基金：

俄罗斯基础研究基金会;

关键词：

Absolute convergence conditions; Convergence problems; Diameters; Estimates of residual terms; Mixed Fourier-Jacobi series;

D O I：

10.1134/S0965542507080039

中图分类号：

学科分类号：

摘要：

Some problems of expansion of functions of two variables in mixed Fourier-Jacobi series are discussed. In particular, estimates of the convergence rate of these series on classes of functions of two variables characterized by generalized moduli of continuity are given. Applications of these results and estimation of residues of some Chebyshev-type mixed cubature formulas are discussed. © 2007 Pleiades Publishing, Ltd.

引用

页码：1243 / 1252

页数：9

共 30 条

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