Totally Equivalent H-J Matrices

Authors

F. Aydin Akgun, Department of Mathematical Engineering, Yildiz Technical University, 34210 Esenler, Istanbul, TurkeyFollow
B. E. Rhoades, Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, U.S.A.Follow

Author Country (or Countries)

Turkey

Abstract

In 1927 W. A. 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 H¨older and Ces´aro matrices are equivalent for each a > −1. Basu, in 1949, compared these matrices totally. In this paper we investigate these theorems of Hurwitz, Hausdorff, and Basu for the E-J and H-J generalized Hausdorff matrices.

Recommended Citation

Aydin Akgun, F. and E. Rhoades, B. (2015) "Totally Equivalent H-J Matrices," Applied Mathematics & Information Sciences: Vol. 09: Iss. 4, Article 2.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss4/2