Some New Cauchy Sequence Spaces

On some new sequence spaces

In this paper we introduce and study some new sequence spaces.

On Some New Paranormed Sequence Spaces

Abstract The sequence spaces c0 , c and `∞ have been recently introduced and studied by Mursaleen and Noman [On the spaces of λ− convergent and bounded sequences, Thai J. Math. 8(2)(2010),311-329]. The main purpose of the present paper is to extend the results of Mursaleen and Noman to the paranormed case and is to work the spaces c0(u, p), c(u, p) and `∞(u, p). Let μ denote any of the spaces c...

A New Class of Banach Sequence Spaces

Some New Difference Sequence Spaces of Invariant Means

In this paper, we define the sequence spaces wσ(u,Δ), [w]σ(u,Δ) and [wσ](u,Δ), where for any sequence x = (xk), the difference sequence Δx is given by Δx = (Δxk)k=1 = (xk − xk−1)k=1. We also study some inclusion relations and properties of the above mentioned spaces. These are generalizations of those defined and studied by Mursaleen, Gaur and Chishti in 1997 and some others. Mathematics Subjec...

Some p -Type New Sequence Spaces and Their Geometric Properties

and Applied Analysis 3 of the space λA is defined by λA {f : f g ◦ A; g ∈ λ′}. Let X be a seminormed space. A set Y ⊂ X is called fundamental set if the span of Y is dense in X. An application of HahnBanach theorem on fundamental set is as follows: if Y is the subset of a seminormed space X and f Y 0 implies f 0 for f ∈ X′, then Y is a fundamental set see 11 . By the idea mentioned above, let u...