Totally Equivalent HJ Matrices


Aydın Akgün F. , Rhoades B.

Applied Mathematics & Information Sciences, vol.9, no.4, pp.1671-1676, 2015 (Journal Indexed in SCI Expanded)

  • Publication Type: Article / Article
  • Volume: 9 Issue: 4
  • Publication Date: 2015
  • Title of Journal : Applied Mathematics & Information Sciences
  • Page Numbers: pp.1671-1676

Abstract

In 1927 WA Hurwitz showed that a row finite matrix is totally regular if and only if it has at most a finite number of diagonals with negative entries. He also proved that a regular Hausdorff matrix is totally regular if and only if it has all nonnegative entries. In 1921 Hausdorff proved that the Hölder and Cesáro matrices are equivalent for each α>− 1. Basu, in 1949, compared these matrices totally. In this paper we investigate these theorems of Hurwitz, Hausdorff, and Basu for the EJ and HJ generalized Hausdorff matrices.