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Strongly (Vλ,A,P) ‐ summable sequence spaces defined by a modulus

    Tunay Bilgin Affiliation
    ; Yilmaz Altun Affiliation

Abstract

We introduce the strongly (Vλ,A,p) ‐ summable sequences and give the relation between the spaces of strongly (Vλ,A,p) ‐ summable sequences and strongly (Vλ,A,p) ‐ summable sequences with respect to a modulus function when A = (α ik ) is an infinite matrix of complex numbers and ρ = (pi) is a sequence of positive real numbers. Also we give natural relationship between strongly (Vλ, A,p) ‐ convergence with respect to a modulus function and strongly Sλ (A) ‐ statistical convergence. Key words: De la Vallee‐Poussin mean, modulus function, statistical convergence.


First Published Online: 14 Oct 2010

Keyword : De la Vallee-Poussin mean, modulus function, statistical covergence

How to Cite
Bilgin, T., & Altun, Y. (2007). Strongly (Vλ,A,P) ‐ summable sequence spaces defined by a modulus. Mathematical Modelling and Analysis, 12(4), 419-424. https://doi.org/10.3846/1392-6292.2007.12.419-424
Published in Issue
Dec 31, 2007
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