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Journal of Classical Analysis
Article . 2017 . Peer-reviewed
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zbMATH Open
Article . 2017
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Orlicz-Quasi-Cauchy double sequence spaces for RH-regular matrix

Orlicz-quasi-Cauchy double sequence spaces for \(RH\)-regular matrix
Authors: Raj, Kuldip; Esi, Ayhan; Jamwal, Seema;

Orlicz-Quasi-Cauchy double sequence spaces for RH-regular matrix

Abstract

Summary: In this research paper, we pioneer a new double sequence space called Orlicz-Quasi-Cauchy double sequence space, \((M,A,\Delta)_{OQC}\). We investigate continuity type properties of Orlicz double function defined on a double subset \(A\times A\) of \(\mathbb{R}^2\) into \(\mathbb{R}\) and study some vital results related to uniform continuity. In the last we also make an attempt to prove some topological properties of \((M,A,\Delta)_{OQC}\).

Keywords

uniformity continuity, Orlicz function, Convergence and divergence of series and sequences, difference sequence spaces, Banach sequence spaces, Sequence spaces (including Köthe sequence spaces), quasi-Cauchy sequences, \(RH\)-regular matrix

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
gold