On Arithmetical Summability and Multiplier Sequences

Yaying, Taja; Hazarika, Bipan

doi:10.1007/s40009-016-0525-2

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2024

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Cited by 16 publications

(10 citation statements)

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“…The idea of arithmetic convergence was introduced by Ruckle [33]. The studies on arithmetic convergence and related results can be found in [23,24,25,41,42].…”

Section: Introductionmentioning

confidence: 99%

On invariant arithmetic statistically convergence via weighted density

Huban¹,

Gürdal²

2021

IJM

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In this paper, our concern is to introduce the concepts of invariant arithmetic convergence, invariant arithmetic statistically convergence and lacunary invariant arithmetic statistically convergence using weighted density via Orlicz function φe. Finally, we give some relations between lacunary invariant arithmetic statistical φe-convergence and invariant arithmetic statistical φe-convergence via weighted density.

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“…The idea of arithmetic convergence was introduced by Ruckle [33]. The studies on arithmetic convergence and related results can be found in [23,24,25,41,42].…”

Section: Introductionmentioning

confidence: 99%

On invariant arithmetic statistically convergence via weighted density

Huban¹,

Gürdal²

2021

IJM

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“…Throughout the article, we follow the definition given by Ç akalli in his corrigendum to the paper [4]. For more details on arithmetic convergence and arithmetic continuity, we refer to [4,19,20,21,22,23]. For different types of continuity and b-metric spaces, we refer to [2,3,5,6,7,11,12].…”

Section: Introductionmentioning

confidence: 99%

Some New Types of Continuity in Asymmetric Metric Spaces

2020

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“…Yaying and Hazarika [17] further extended the theory of arithmetical summability and introduced the concepts of arithmetic continuity and arithmetic compactness in R. One may refer to [15,17,18,16,19] for greater inside to arithmetical summability. The main purpose of this article is to investigate the theory of arithmetical summability using the sum G ∑ k|m f (k) i.e.…”

Section: Introductionmentioning

confidence: 99%