Rate of convergence for rational and conjugate rational Fourier series of functions of generalized bounded variation

Hardeepbhai Khachar; Rajendra Vyas

doi:10.12697/ACUTM.2022.26.16

Hardeepbhai J. Khachar The Maharaja Sayajirao University of Baroda https://orcid.org/0000-0002-0599-6949
Rajendra G. Vyas The Maharaja Sayajirao University of Baroda https://orcid.org/0000-0002-4624-5404

DOI: https://doi.org/10.12697/ACUTM.2022.26.16

Keywords: Rational Fourier series, double rational Fourier series, rate of convergence, generalized bounded variation

Abstract

In this article, extending the results of Fourier and conjugate Fourier series, the rates of convergence for rational and conjugate rational Fourier series for functions of generalized bounded variation are estimated.

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Author Biographies

Hardeepbhai J. Khachar, The Maharaja Sayajirao University of Baroda

Department of Mathematics

Rajendra G. Vyas, The Maharaja Sayajirao University of Baroda

Department of Mathematics