Applications of Hankel and Regular Matrices in Fourier Series

Abdullah Alotaibi; M. Mursaleen

doi:10.1155/2013/947492

Abstract and Applied Analysis (Jan 2013)

Applications of Hankel and Regular Matrices in Fourier Series

Abdullah Alotaibi,
M. Mursaleen

Affiliations

Abdullah Alotaibi: Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
M. Mursaleen: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

DOI: https://doi.org/10.1155/2013/947492
Journal volume & issue: Vol. 2013

Abstract

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Recently, Alghamdi and Mursaleen (2013) used the Hankel matrix to determine the necessary and suffcient condition to find the sum of the Walsh-Fourier series. In this paper, we propose to use the Hankel matrix as well as any general nonnegative regular matrix to obtain the necessary and sufficient conditions to sum the derived Fourier series and conjugate Fourier series.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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