Strongly almost convergent generalized difference sequences associated with multiplier sequences

Year, pages: 2007, 339 - 348

Let $Λ = (λ_k)$ 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. $w₀[A,Δ^m,Λ,p]$, $w₁[A,Δ^m,Λ,p] $, $ w_∞[A,Δ^m,Λ,p]$ and study their different properties. We also introduce \mbox{$Δ_Λ^m$-stat} istically convergent sequences and give some inclusion relations between \linebreak $w₁[Δ^m,λ,p]$ convergence and $Δ_Λ^m$-statistical convergence.

Esi, A., Tripathy, B. 2007. Strongly almost convergent generalized difference sequences associated with multiplier sequences. In Mathematica Slovaca, vol. 57, no.4, pp. 339-348. 0139-9918.

Esi, A., Tripathy, B. (2007). Strongly almost convergent generalized difference sequences associated with multiplier sequences. Mathematica Slovaca, 57(4), 339-348. 0139-9918.