Rate of Convergence for Double Rational Fourier Series

被引：0

作者：

Khachar, Hardeepbhai J. ^{[1
]}

Vyas, Rajendra G. ^{[1
]}

机构：

[1] Maharaja Sayajirao Univ Baroda, Fac Sci, Dept Math, Vadodara 390002, Gujarat, India

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 04期

关键词：

Rational Fourier series; Double rational Fourier series; Rate of convergence; Generalized bounded variation; PARTIAL-SUMS; APPROXIMATION;

D O I：

10.1007/s11785-023-01479-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We calculate the rate of convergence of the double rational Fourier series for regular, bounded, measurable, and two-variable functions. The rectangular oscillation of the two-variable function is used to quantify this rate. Additionally, we give an approximation of convergence rate of the double rational Fourier series for continuous functions with generalized bounded variation.

引用

页数：17

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