Totally Equivalent HJ Matrices
Applied Mathematics & Information Sciences, cilt.9, sa.4, ss.1671-1676, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 4
- Basım Tarihi: 2015
- Dergi Adı: Applied Mathematics & Information Sciences
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1671-1676
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
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.