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

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Authors

  • Smita Sonker
     Department of Mathematics, National Institute of Technology Kurukshetra -136119 ,IN
  • Paramjeet Sangwan
     Department of Mathematics, National Institute of Technology Kurukshetra -136119 ,IN

DOI:

https://doi.org/10.18311/jims/2023/31305

Keywords:

Signal Approximation, Weighted Lipschitz WW' (Lp, ξ(t)), (P ≥ 1), (t 62; 0) Class, Ces`aro (Cα,η)-Mean, Euler (Eθ)-Mean, Ces`aro-Euler (Cα,η.Eθ) Product Mean, Conjugate Fourier Series, H¨older’s Inequality.

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.

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Published

2023-03-24

How to Cite

Sonker, S., & Sangwan, P. (2023). Approximation of Signal Belonging to W<sup>’</sup> (L<sup>p</sup>, &#958;(t)) Class by Generalized Cesaro-Euler (C<sup>&#945;,&#951;</sup>.E<sup>&#952;</sup>) Operator of Conjugate Fourier Series. The Journal of the Indian Mathematical Society, 90(1-2), 187–198. https://doi.org/10.18311/jims/2023/31305

Issue

Volume 90, Issue 1-2, January-June 2023

Section

Articles

License

Copyright (c) 2023 Smita Sonker, Paramjeet Sangwan

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2022-09-16
Accepted 2023-03-14
Published 2023-03-24

 

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