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
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页数：10
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