ON SOME NEW FK SPACES OBTAINED FROM SUMMABILITY MATRIX

The Β–duals of Some Matrix Domains in Fk Spaces and Matrix Transformations

We prove general results that reduce the determination of the β–duals of matrix domains XT of triangles in certain FK spaces X to that of the β–dual of X, and the characterization of matrix transformations on XT to that of matrix transformations on X. AMS Mathematics Subject Classification (2000): 40H05, 46A45

Matrix Summability and Korovkin Type Approximation Theorem on Modular Spaces

In this paper, using a matrix summability method we obtain a Korovkin type approximation theorem for a sequence of positive linear operators defined on a modular space.

On Some Summability Spaces of Sequences of Fuzzy Numbers

In this article we introduce and study the notions of ( , ) s v r  -lacunary strongly summable, ( , ) s v r  Cesàro strongly summable, ( , ) s v r  statistically convergent and ( , ) s v r  -lacunary statistically convergent sequence of fuzzy numbers. Consequently we construct the spaces   ( , ) F sv r L  ,   1 ( , ) F sv r   ,   ( , ) F sv r S  and   ( , ) F sv r S  respecti...

On absolute matrix summability methods

On Absolute Matrix Summability Methods

We have proved a theorem on |T, p n | k summability methods. This theorem includes a known theorem.