Strongly almost convergent generalized difference sequences associated with multiplier sequences

Mathematica Slovaca

Ayhan Esi¹  Binod Tripathy¹ 

关键词: multiplier sequence;    paranorm;    regular matrix;    difference sequence;    statistical convergence;   

DOI  :  10.2478/s12175-007-0028-1

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

Let Λ = (λk) be a sequence of non-zero complex numbers. In this paper we introduce the strongly almost convergent generalized difference sequence spaces associated with multiplier sequences i.e. w 0[A,Δm,Λ,p], w 1[A,Λm,Λ,p], w ∞[A,Δm,Λ,p] and study their different properties. We also introduce ΔΛm-statistically convergent sequences and give some inclusion relations between w 1[Δm,λ,p] convergence and ΔΛm-statistical convergence.

【 授权许可】

Unknown