Original scientific paper

https://doi.org/10.3336/gm.45.1.11

Some new double sequence spaces of invariant means

M. Mursaleen ; Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
S. A. Mohiuddine ; Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Abstract

In this paper, we define some new spaces of double sequences involving the idea of σ-mean; i.e., we define the spaces of strongly σ-convergent, absolutely σ-almost convergent, σ-almost bounded and absolutely σ-convergent double sequences and establish some inclusion relations along with some numerical examples.

Keywords

Double sequences; absolute almost convergence; σ-mean; strong σ-convergence; absolute σ-convergence; σ-almost boundedness; absolute σ-convergence

Hrčak ID:

52373

URI

https://hrcak.srce.hr/52373

Publication date:

17.5.2010.

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