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.
Aydin Akgun, F. and E. Rhoades, B.
"Totally Equivalent H-J Matrices,"
Applied Mathematics & Information Sciences: Vol. 09
, Article 2.
Available at: https://dc.naturalspublishing.com/amis/vol09/iss4/2