E-J Summability of Orthogonal Series

Authors

  • Fatma Aydin Akgun Yildiz Technical University
  • Billy E. Rhoades

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i3.3687

Keywords:

E-J matrices, orthogonal series

Abstract

In this paper we obtain a sufficient condition for the E-J summability of certain orthogonal series.  Our results generalize the corresponding theorems for ordinary Hausdorff summability obtained by Kalaivana and Youvaraj.

Author Biography

  • Fatma Aydin Akgun, Yildiz Technical University

    F. Aydin Akgun received
    her Ph.D. in Istanbul, Turkiye
    from Yildiz Technical University
    in 2008. Her thesis was on
    boundary value problems. Several
    papers on boundary value
    problems were published from
    1999 - 2009. In 2010 she went
    to Indiana University, in America,
    to work with Professor Rhoades
    on summability and Hausdorff
    matrices. Several papers on summability have recently been
    published. She is Assoc. Prof. in Department of Mathematical Engineering in Yildiz Technical University.

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Published

2020-07-31

Issue

Vol. 13 No. 3: (July 2020)

Section

Nonlinear Analysis

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How to Cite

E-J Summability of Orthogonal Series. (2020). European Journal of Pure and Applied Mathematics, 13(3), 390-402. https://doi.org/10.29020/nybg.ejpam.v13i3.3687