Approximation of Signals in the Weighted Zygmund Class Via Euler-hausdorff Product Summability Mean of Fourier Series

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Authors

  • A. A. Das
     Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Odisha 768018 ,IN
  • S. K. Paikray
     Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Odisha 768018 ,IN
  • T Pradhan
     Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Odisha 768018 ,IN
  • H. Dutta
     Department of Mathematics, Gauhati University, Guwahati 781014 ,IN

DOI:

https://doi.org/10.18311/jims/2020/22506

Keywords:

Degree of approximation, Weighted zygmund class, Trigonometric fourier Series, Euler mean, Hausdorff mean
41A24, 41A25, 42B05, 42B08

Abstract

Approximation of functions of Lipschitz and zygmund classes have been considered by various researchers under different summability means. In the proposed paper, we have studied an estimation of the order of convergence of Fourier series in the weighted Zygmund class W(Zr(ω)) by using Euler-Hausdorff product summability mean and accordingly established some (presumably new) results. Moreover, the results obtained here are the generalization of several known results.

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Published

2020-05-15

How to Cite

Das, A. A., Paikray, S. K., Pradhan, T., & Dutta, H. (2020). Approximation of Signals in the Weighted Zygmund Class Via Euler-hausdorff Product Summability Mean of Fourier Series. The Journal of the Indian Mathematical Society, 87(1-2), 22–36. https://doi.org/10.18311/jims/2020/22506

Issue

Volume 87, Issue 1-2, January-June 2020

Section

Articles

License

Copyright (c) 2020 A. A. Das, S. K. Paikray, T Pradhan, H. Dutta

Creative Commons License

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

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Received 2018-10-15
Accepted 2023-01-30
Published 2020-05-15

 

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