In this paper we define the sequence space lM (Δm, p, q, s) on a seminormed complex linear space by using an Orlicz function. We study its different algebraic and topological properties like solidness, symmetricity, monotonicity, convergence free etc. We prove some inclusion relations involving lM (Δm, p, q, s).

Generalized difference sequence spaces on seminormed space defined by Orlicz functions

In this paper we introduce some new seminormed sequence spaces using a sequence of Orlicz functions and examine some properties of these sequence spaces. Furthermore we introduce Δug− statistical convergence andgive a relation between Δug− statistical convergence and strongly Δug− Cesaro summable sequences with respect to an Orlicz function. Mathematics subject classification (2000): 40A05, 40C05, 46A45.

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On some classes of sequences dened by sequences of orlicz functions

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.

/pdf/on-some-new-sequence-spaces-in-2-normed-spaces-using-ideal-54lp91k67z.pdf

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

Δm-Strongly summable sequences spaces in 2-normed spaces defined by ideal convergence and an Orlicz function

A note on strong matrix summability via ideals

In this paper we define a sequence space using Orlicz functions. We give certain properties and inclusion relations between known sequence spaces and new sequence space.

B. Choudhary

Papers

A sequence space defined by Orlicz functions