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      Strongly(Vλ, A, Δn(vm),p, q)-summable sequence spaces defined by modulus function and statistical convergence

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          Abstract

          In this paper we introduce strongly (Vλ,A, Δn(vm),p, q)-summable sequences and give the relation between the spaces of strongly (Vλ,A, Δn(vm),p, q) -summable sequences and strongly (Vλ, A , Δn(vm), p , q)-summable sequences with respect to a modulus function when A =(a ik) is an infinite matrix of complex number, (Δn(mv)) is generalized difference operator, p = (p i) is a sequence of positive real numbers and q is a seminorm. Also we give the relationship between strongly (Vλ,A, Δn(vm),p, q) - convergence with respect to a modulus function and strongly Sλ(A, Δn(vm))- statistical convergence.

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          Most cited references26

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          On certain sequence spaces

          H. Kızmaz (1981)
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            The Integrability of Certain Functions and Related Summability Methods

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              Sequence spaces defined by a modulus

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                Author and article information

                Journal
                proy
                Proyecciones (Antofagasta)
                Proyecciones (Antofagasta)
                Universidad Católica del Norte, Departamento de Matemáticas (Antofagasta, , Chile )
                0716-0917
                June 2015
                : 34
                : 2
                : 191-203
                Affiliations
                [01] orgnameUniversity of Bahrain orgdiv1Department of Mathematics Kingdom of Bahrain
                Article
                S0716-09172015000200007 S0716-0917(15)03400200007
                10.4067/S0716-09172015000200007
                a6a74c9b-d674-412b-b925-69b59f340303

                This work is licensed under a Creative Commons Attribution 4.0 International License.

                History
                : April 2015
                : January 2015
                Page count
                Figures: 0, Tables: 0, Equations: 0, References: 26, Pages: 13
                Product

                SciELO Chile


                Difference operator,statistical convergence,modulus function,De la Vallee-Poussin mean

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