Extension of Mazhar’s theorem on summability factors

Kuwait Journal of Science

MEHMET ALI SARIGOL¹ 

[1] Department of Mathematics, University of Pamukkale, Denizli, TURKEY

关键词: Absolute Cesàro summability;    absolute Riesz summability;    bounded linear operators;    matrix transformations;    summability factors.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

By  (X; Y ) we denote the set of all sequencessuch thatPa nnis summable  X wheneverPa n is summable Y , where X and Y are sum-mability methods. In this paper we characterize the set  (jC; jk ;N; p n)  fork >  1;> 􀀀1 and arbitrary positive sequence (pn) using functional analytictechniques, and so extend the known results of Mazhar  [2] ; Mehdi [3] and theauthor  [10; 12].

【 授权许可】

Unknown