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Proyecciones (Antofagasta)

Print version ISSN 0716-0917


AIYUB, Mohammad. Strongly(Vλ, A, Δn(vm),p, q)-summable sequence spaces defined by modulus function and statistical convergence. Proyecciones (Antofagasta) [online]. 2015, vol.34, n.2, pp.191-203. ISSN 0716-0917.

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 =(aik) is an infinite matrix of complex number, (Δn(mv)) is generalized difference operator, p = (pi) 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.

Keywords : De la Vallee-Poussin mean; Difference operator; modulus function; statistical convergence.

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