Local geometric properties in quasi-normed Orlicz spaces

Some Geometric properties in Orlicz- Cesaro Spaces

On the OrliczCesaro sequence spaces ( ces ) which are defined by using Orlicz function , we show that the space ces equipped with both Amemiya and Luxemburg norms possesses uniform Opial property and uniform Kadec-Klee property if satisfy the 52 -condition.

Refinements of s-Orlicz Convex Functions in Normed Linear Spaces

Quotients of Finite-dimensional Quasi-normed Spaces

We study the existence of cubic quotients of finite-dimensional quasi-normed spaces, that is, quotients well isomorphic to `∞ for some k. We give two results of this nature. The first guarantees a proportional dimensional cubic quotient when the envelope is cubic; the second gives an estimate for the size of a cubic quotient in terms of a measure of nonconvexity of the quasi-norm.

SOME MULTIPLIER SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION IN n-NORMED SPACES

In the present paper we introduced some multiplier sequence spaces defined by a Musielak-Orlicz function M = (Mk) in n-normed spaces and examine some topological properties and some inclusion relation between the resulting sequence spaces.

On Some New Sequence Spaces in 2-Normed Spaces Using Ideal Convergence and an Orlicz Function

The purpose of this paper is to introduce certain new sequence spaces using ideal convergence and an Orlicz function in 2-normed spaces and examine some of their properties.