Some New Difference Sequence Spaces of Invariant Means Defined by Ideal and Modulus Function

Sudhir Kumar, Vijay Kumar and S. S. Bhatia

International Journal of Analysis, 2014, vol. 2014, 1-7

Abstract:

The main objective of this paper is to introduce a new kind of sequence spaces by combining the concepts of modulus function, invariant means, difference sequences, and ideal convergence. We also examine some topological properties of the resulting sequence spaces. Further, we introduce a new concept of -convergence and obtain a condition under which this convergence coincides with above-mentioned sequence spaces.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:631301

DOI: 10.1155/2014/631301

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