Rate of Convergence of Certain Fourier Series of Functions of Generalized Bounded Variation

被引：0

作者：

Bera, R. K. ^{[1
]}

Ghodadra, B. L. ^{[1
]}

机构：

[1] Maharaja Sayajirao Univ Baroda, Vadodara 390002, Gujarat, India

来源：

RUSSIAN MATHEMATICS | 2024年 / 68卷 / 10期

关键词：

Fourier series; rational Fourier series; pointwise convergence; rate of convergence; p-Lambda-bounded variation;

D O I：

10.3103/S1066369X24700749

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss the rate of convergence of the rational Fourier series and conjugate rational Fourier series of functions of generalized bounded variation. In particular, well-known Wiener's and Siddiqi's theorems for functions of p-bounded variation are proved in more general complete rational orthogonal system. Also some results are obtained for a class of functions wider than the class of functions of bounded variation and of p-{n(alpha)}-bounded variation.

引用

页码：1 / 13

页数：13

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