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Some classes of almost convergent paranormed sequence spaces defined by Orlicz functions

Isik M.

Demonstratio Mathematica

2012

Vol. 45, nr 3

585-592

In this paper we define (...), the sequence spaces on a seminormed complex linear space, using an Orlicz function. We give various properties and some inclusion relations on this space.

The semi normed space defined by a double gai sequence of modulus function

Subramanian N., Misra U.

Fasciculi Mathematici

2010

Nr 45

111-120

In this paper we introduce the sequence spaces x2m(p, q, u), using an modulus function M and defined over a semi normed space (X, q); semi normed by q. We study some properties of these sequence spaces and obtain some inclusion relations.

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.