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Boletim da Sociedade Paranaense de Matemática
Article . 2022 . Peer-reviewed
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Article . 2023
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On $S_{\alpha }^{\beta }(\theta ,A,F)-$convergence and strong $N_{\alpha }^{\beta }(\theta ,A,F)-$convergence

On \(S_{\alpha}^{\beta}(\theta,A,F)\)-convergence and strong \(N_{\alpha}^{\beta}(\theta,A,F)\)-convergence
Authors: Hacer Şengül Kandemir; Mikail Et; Hüseyin Çakalli;

On $S_{\alpha }^{\beta }(\theta ,A,F)-$convergence and strong $N_{\alpha }^{\beta }(\theta ,A,F)-$convergence

Abstract

In this paper, we introduce strong $N_{\alpha }^{\beta }(\theta ,A,F)-$convergence and $S_{\alpha }^{\beta }(\theta ,A,F)-$% convergence with respect to a sequence of modulus functions and give some connections between strongly $N_{\alpha }^{\beta }(\theta ,A,F)-$convergent sequences and $S_{\alpha }^{\beta }(\theta ,A,F)-$convergent sequences for $% 0<\alpha \leq \beta \leq 1$.

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Keywords

\( A\)-statistical convergence, Matrix methods for summability, Convergence and divergence of series and sequences, modulus function, QA1-939, lacunary sequence, Mathematics, Sequence spaces (including Köthe sequence spaces)

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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