On some vector valued multiplier spaces with statistical Cesàro summability

In the present paper we define and study some vector valued spaces within the frame of the Statistical Ces?ro convergence and the Statistically Ces?ro summability in normed spaces. Also, we characterize the continuous, compact and sequential continuous summing operators on Statistical Ces?ro multiplier sequence spaces.

ON SOME GENERALIZED DIFFERENCE SEQUENCE SPACES OF FUZZY NUMBERS DEFINED BY A SEQUENCE OF MODULI

We have introduced the paranormed sequence spaces cF (f; Λ; ∆m; p),cF0 (f; Λ; ∆m; p) and l1 F (f; Λ; ∆m; p) of fuzzy numbers associated with the multiplier sequence Λ = (λk) determined by a sequence of moduli f = (fk). Some of their properties like solidity, symmetricity, completeness etc. and inclusion relations are studied.

On the Classical Paranormed Sequence Spaces and Related Duals over the Non-Newtonian Complex Field

The studies on sequence spaces were extended by using the notion of associated multiplier sequences. A multiplier sequence can be used to accelerate the convergence of the sequences in some spaces. In some sense, it can be viewed as a catalyst, which is used to accelerate the process of chemical reaction. Sometimes the associated multiplier sequence delays the rate of convergence of a sequence. In the present paper, the classical paranormed sequence spaces have been introduced and proved that the spaces are⋆-complete. By using the notion of multiplier sequence, theα-,β-, andγ-duals of certain paranormed spaces have been computed and their basis has been constructed.