Approximation of functions belonging to Lip(ξ(t), r) class by (N, pn)(E, q) summability of conjugate series of Fourier series

被引：12

作者：

Mishra, Vishnu Narayan ^{[1
]}

Khatri, Kejal ^{[1
]}

Mishra, Lakshmi Narayan ^{[2
]}

机构：

[1] Sardar Vallabhbhai Natl Inst Technol, Dept Math, Surat 395007, Gujarat, India

[2] Dr Ram Manohar Lohia Avadh Univ, Faizabad 224001, Uttar Pradesh, India

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

关键词：

degree of approximation; Lip(xi(t); r)-class of function; (N; p(n))(E; q) product summability; conjugate Fourier series; Lebesgue integral; CLASS LIP(ALPHA; P);

D O I：

10.1186/1029-242X-2012-296

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new theorem concerning the degree of approximation of the conjugate of a function belonging to Lip(xi(t), r) class by (N, p(n))(E, q) summability of its conjugate series of a Fourier series has been proved. Here the product of Euler (E, q) summability method and Norlund (N, p(n)) method has been taken. MSC: Primary 42B05; 42B08; 40G05

引用

页数：10

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