On double Hausdorff summability method

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Sevli H., Savas R.

JOURNAL OF INEQUALITIES AND APPLICATIONS, vol.2014, 2014 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2014
  • Publication Date: 2014
  • Doi Number: 10.1186/1029-242x-2014-240
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Keywords: absolute summability, conservative matrix, double series, Hausdorff matrices, ABSOLUTE SUMMABILITY, MATRICES

Abstract

Das (Proc. Camb. Philos. Soc. 67:321-326, 1970) proved that every conservative Hausdorff matrix is absolutely kth power conservative. Savas and Rhoades (Anal. Math. 35: 249-256, 2009) proved the result of Das for double Hausdorff summability. In this paper we will consider the double Endl-Jakimovski (E-J) generalization and we will prove the corresponding result of Sava, s and, Sevas (J. Comput. Anal. Appl. 11:702-710, 2009) for double E-J generalized Hausdorff matrices.