STRONG INVARIANT A-SUMMABILITY WITH RESPECT TO A SEQUENCE OF MODULUS FUNCTIONS IN A SEMINORMED SPACE

摘要

The object of this paper is to introduce some new strongly invariantA-summable sequence spaces defined by a sequence of modulus functions F = (f_k)in aseminormed space, when A = (a_(nk)) is a non-negative regular matrix. Various algebraicand topological properties of these spaces, and some inclusion relations between thesespaces have been discussed. Finally, we study some relations between A-invariant statisti-cal convergence and strong invariant A-summability with respect to a sequence of modulusfunctions in a seminormed space.