Convergence of two-dimensional trigonometric interpolation polynomials of functions of bounded harmonic variation

被引：1

作者：

Nurbekyan, A. R. ^{[1
]}

Sahakyan, A. A. ^{[1
]}

机构：

[1] Yerevan State Univ, Yerevan 375049, Armenia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2014年 / 49卷 / 04期

关键词：

Multidimensional trigonometric interpolation; bounded harmonic variation;

D O I：

10.3103/S1068362314040013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper considers a question of convergence of partial sums of two-dimensional trigonometric interpolation polynomials. Convergence by Pringsheim for functions of two variables with bounded harmonic variation is established.

引用

页码：157 / 165

页数：9

共 50 条

[1] Convergence of two-dimensional trigonometric interpolation polynomials of functions of bounded harmonic variation
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[J]. Journal of Contemporary Mathematical Analysis, 2015, 50 : 80 - 89
[3] Convergence of Multidimensional Interpolation Polynomials of Functions of Bounded Harmonic Variations
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[4] TRIGONOMETRIC INTERPOLATION OF FUNCTIONS OF BOUNDED VARIATION
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[5] THE TRIGONOMETRIC INTERPOLATION OF FUNCTIONS OF LAMBDA-BOUNDED VARIATION
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[9] ON THE RATE OF CONVERGENCE OF BERNSTEIN POLYNOMIALS OF FUNCTIONS OF BOUNDED VARIATION
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[J]. JOURNAL OF APPROXIMATION THEORY, 1983, 39 (03) : 259 - 274
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