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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.

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