DEGREE OF APPROXIMATION OF SIGNALS BELONGING TO WEIGHTED LIPSCHITZ CLASS BY ZWEIER-EULER PRODUCT MEANS OF ITS FOURIER SERIES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 67

Volume : 19 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2023.1902.23
Author :
Radhamadhab Dash (Centurian University of Technology and Management, Odisha, INDIA)
Banitamani Mallik (Centurian University of Technology and Management, Odisha, INDIA)
B. P. Padhy (Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar, Odisha, INDIA)
U. K. Misra (Mathematics Department, NIST (Autonomous), Berhampur - 761008, Odisha, INDIA)

Abstract

Many researchers have looked into various linear summation techniques for approximating periodic functions. In the current paper, an attempt is made to obtain the degree of approximation of signals belonging to weighted $(L^\mu,\varphi(v)) $ class by Zweier-Euler product of its Fourier series.

Keywords and Phrases

Degree of approximation, Weighted Lipschitz class, Fourier series, Lebesgue integral.

A.M.S. subject classification

40C05, 42B05.

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