On double Hausdorff summability method

Journal of inequalities and applications

Hamdullah ޹ 

关键词: absolute summability;    conservative matrix;    double series;    Hausdorff matrices;   

DOI  :  10.1186/1029-242X-2014-240

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Das (Proc. Camb. Philos. Soc. 67:321-326, 1970) proved that every conservative Hausdorff matrix is absolutely k th power conservative. Savaş 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 Savaş and Şevli (J. Comput. Anal. Appl. 11:702-710, 2009) for double E-J generalized Hausdorff matrices. MSC:40F05, 40G05.

【 授权许可】

CC BY