Approximation of Signals by Harmonic-Euler Triple Product Means

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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/2021/26084

Keywords:

Degree of Approximation, Harmonic-Euler (H1.Eθ.Eθ) - Summability, Fourier Series, Conjugate Series, Lebesgue integral, Second Mean Value (SMV) Theorem

Abstract

Our paper deals with the approximation of signals by H1.Eθ.Eθ product means of Fourier and its conjugate series. New theorems based on H1.Eθ.Eθ product summability have been established and proved under general conditions. The established theorems extend, generalize and improve various existing results on summability of Fourier series and its conjugate series.

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Published

2021-01-28

How to Cite

Sonker, S., & Sangwan, P. (2021). Approximation of Signals by Harmonic-Euler Triple Product Means. The Journal of the Indian Mathematical Society, 88(1-2), 176–186. https://doi.org/10.18311/jims/2021/26084

Issue

Volume 88, Issue 1-2, January-June 2021

Section

Articles

License

Copyright (c) 2021 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 2020-09-18
Accepted 2023-01-30
Published 2021-01-28

 

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