Approximation of Signal Belonging to W' (Lp, ξ(t)) Class by Generalized Cesaro-Euler (Cα,η.Eθ) Operator of Conjugate Fourier Series-Reference-Cited by-同舟云学术

Approximation of Signal Belonging to W' (Lp, ξ(t)) Class by Generalized Cesaro-Euler (Cα,η.Eθ) Operator of Conjugate Fourier Series

Published:2023-03-24 Issue: Volume: Page:187-198
ISSN:2455-6475
Container-title:The Journal of the Indian Mathematical Society
language:
Short-container-title:JIMS

Author:

Sonker Smita,Sangwan Paramjeet

Abstract

In this paper, an attempt is made to establish a new theorem on approximation of signal belonging to W' (Lp, ξ(t)), (p ≥ 1), (t > 0) class by using generalized Ces`aro-Euler (Cα,η.Eθ) means of conjugate Fourier series. The established theorem extends, generalizes and improves previous results on summability of conjugate Fourier series for better convergence. In addition, product operators approximate more accurately than individual linear operators.

Publisher

Informatics Publishing Limited

Subject

General Mathematics

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