Premium
Summability factor relations between absolute weighted and Cesàro means
Author(s) -
Hazar Güleç Güllü Canan
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5399
Subject(s) - mathematics , range (aeronautics) , set (abstract data type) , combinatorics , pure mathematics , computer science , materials science , composite material , programming language
ByU , V , we denote the set of all sequences ϵ =ϵ nsuch that Σ ϵ n a n is summable V whenever Σ a n is summable U , where U and V are two summability methods. Recently, Sarıgöl has characterized the setC , αk ,N ‾ , p nfor k > 1, α > −1 and arbitrary positive sequencesp n. Now, in the present paper, we characterize the setsC , − 1k ,N ‾ , p n, k > 1 andN ‾ , p n,C , − 1k, k ≥ 1 for arbitrary positive sequencesp n. Hence we extend these results to the range α ≥ − 1. In this way, some open problems in this topic are also completed.