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

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 c...

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Bibliographic Details
Published in:Proyecciones (Antofagasta) Vol. 34; no. 2; pp. 191 - 203
Main Author: Aiyub, Mohammad
Format: Journal Article
Language:English
Portuguese
Spanish
Published: Universidad Católica del Norte, Departamento de Matemáticas 17.04.2025
Subjects:
MATHEMATICS
statistical convergence
modulus function
De la Vallee-Poussin mean
Difference operator
ISSN:0716-0917
Online Access:Get full text
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Summary: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.
ISSN:0716-0917
DOI:10.4067/S0716-09172015000200007