Rate of Convergence for Double Rational Fourier Series

IF 0.7 4区数学 Q2 MATHEMATICS

Complex Analysis and Operator Theory Pub Date : 2024-05-18 DOI:10.1007/s11785-023-01479-w

Hardeepbhai J. Khachar, Rajendra G. Vyas

引用次数: 0

Abstract

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.

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双有理傅里叶级数的收敛率

我们计算了正则、有界、可测和双变量函数的双有理傅里叶级数的收敛速率。双变量函数的矩形振荡被用来量化这一收敛率。此外，我们还给出了具有广义有界变化的连续函数的双有理傅里叶级数收敛率的近似值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Analysis and Operator Theory 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

107

审稿时长

3 months

期刊介绍： Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.