Trigonometric Approximation of the Conjugate Series of a Function of Generalized Lipchitz Class by Product Summability

被引：0

作者：

Sahu, Subrata K. ^{[1
]}

Acharya, D. ^{[1
]}

Nayak, P. C. ^{[2
]}

Misra, U. K. ^{[1
]}

机构：

[1] Natl Inst Sci & Technol, Golanthara 761008, Odisha, India

[2] Bhadrak Autonomous Coll, Bhadrak, Odisha, India

来源：

Advances in Mathematical Sciences: Proceedings of the National Seminar on Advances in Mathematical Sciences, 2015 | 2016年 / 1751卷

关键词：

Fourier Approximation; W; (L-P; xi(t)) class of function; (E; s) (N; p(n); q(n)) product mean; conjugate Fourier series;

D O I：

10.1063/1.4954858

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Trigonometric Fourier approximation and Lipchitz class of function had been introduced by Zyginund and McFadden respectively. Dealing with degree of approximation of conjugate series of a Fourier series of a function of Lipchitz class Misra et al. have established certain theorems. Extending their results, in this paper a theorem on trigonometric approximation of conjugate series of Fourier series of a function f is an element of W (L-P,xi(t)) by product summability (E, s) (N, p(n), q(n)) has been established.

引用

页数：9

共 8 条

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