Article ID Journal Published Year Pages File Type
4975835 Journal of the Franklin Institute 2011 8 Pages PDF
Abstract

The main aim of this article is to extend the notion of strongly Cesàro summable and strongly lacunary summable real sequences to n-normed linear space valued (n-nls valued) difference sequences. Consequently we introduce the spaces |σ1|(X,∇) and Nθ(X,∇), respectively, where X is an n-normed space and ∇ is a difference operator. We investigate these spaces for completeness as well as for the relationship between these spaces.

Related Topics
Physical Sciences and Engineering Computer Science Signal Processing
Authors
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