The equivalence of generalized Holder and Cesaro matrices

Akgun F., Rhoades B. E.

APPLIED MATHEMATICS AND COMPUTATION, vol.218, no.12, pp.6677-6683, 2012 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 218 Issue: 12
  • Publication Date: 2012
  • Doi Number: 10.1016/j.amc.2011.12.027
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.6677-6683
  • Keywords: Generalized Hausdorff matrices, Holder, Cesaro, Double summability, HAUSDORFF MATRICES, SUMMATION METHODS, MOMENT SERIES, SUMMABILITY
  • Yıldız Technical University Affiliated: Yes

Abstract

We show that the generalized Holder and Cesaro matrices of order alpha > - 1 are equivalent. We also show that the corresponding is true for doubly infinite generalized Holder and Cesaro matrices. (C) 2011 Elsevier Inc. All rights reserved.