Quasi-invariant convergence for double sequence

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2020 English Publisher:Element d.o.o.Journal:Journal of Classical Analysis (issn: 1848-5987,

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Authors: Dafadar, Alauddin; Ganguly, D. K.;

doi: 10.7153/jca-2020-17-10 , 10.7153/jca-2021-17-10

Quasi-invariant convergence for double sequence

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Abstract

Summary: In this paper we introduce the concept of quasi-invariant convergence and quasiinvariant statistical convergence of double sequence in a normed space and we shall present a characterization of a bounded sequence to be quasi-invariant convergent.

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Keywords

invariant mean, quasi invariant statistical convergent, Banach limit, invariant limit, Convergence and divergence of series and sequences, Summability in abstract structures, quasi invariant convergent, Multiple sequences and series

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