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Strong invariant A-summability with respect to a sequence of modulus functions in seminormed space

Bhardwaj V., Bala I.

Demonstratio Mathematica

2008

Vol. 41, nr 4

869-877

The object of this paper is to introduce some new strongly invariant A-summable sequence spaces defined by a sequence of modulus functions T = (fk) in a seminormed space, when A = (ank) is a non-negative regular matrix. Various algebraic and topological properties of these spaces, and some inclusion relations between these spaces have been discussed. Finally, we study some relations between ^4-invariant statisti-cal convergence and strong invariant A-summability with respect to a seąuence of modulus functions in a seminormed space.