STUDY OF ERROR OF APPROXIMATION OF
CONJUGATE FOURIER SERIES IN WEIGHTED
CLASS BY ALMOST RIESZ MEANS
Kusum Sharma
Department of Mathematics
National Institute of Technology
Uttarakhand – 246174, INDIA

Abstract

The present work is aimed to study error (or degree) of approximation of a function \(\tilde g\), conjugate to \(2\pi\)-periodic function \(g\), belonging to weighted \(W\left( L^{p},\xi\left( t \right) \right)\left( p\geq1 \right)\) by almost Riesz means. Our result gives sharper estimates than the previous known results. Some of important corollaries have also been derived from our main theorem.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 5
Year: 2020

DOI: 10.12732/ijam.v33i5.9

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