On approximation of continuous function f ε Hα by (C, 2) (E, q) means of its Fourier series

被引:0
作者
Rathore, H. L. [1 ]
Shrivastava, U. K. [2 ]
Mishra, Vishnu Narayan [3 ]
机构
[1] Govt Coll Pendra, Dept Math, Bilaspur 495119, Chhattisgarh, India
[2] Govt ER Rao Sci PG Coll, Dept Math, Bilaspur 495001, Chhattisgarh, India
[3] Indira Gandhi Natl Tribal Univ, Dept Math, Anuppur 484887, Madhya Pradesh, India
关键词
(C; 2); mean; Degree of approximation; Lebesgue integral; Holder metric; Fourier series; (E; q); Banach spaces; 2) (E; summability;
D O I
10.1016/j.matpr.2021.11.150
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper we define the Holder continuous is a real or complex valued function and satisfies Euclidean space. Further we extend the result of Rathore and Shrivastava "on the degree of approximation of function belonging to weighted (L-p, xi(t)) class by (C, 2) (E, q) means of Fourier series". We establish a new theorem on "approximation of function belonging to Holder Metric by product summability is more generalized method of Ces ro mean of second order and Euler mean of its Fourier series" has been proved. Copyright (C) 2022 Elsevier Ltd. All rights reserved. Selection and peer-review under responsibility of the scientific committee of the International Conference on Innovation and Application in Science and Technology
引用
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页码:2026 / 2030
页数:5
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