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Journals / Maltepe Journal of Mathematics / 2020 / Cilt: 2 - Sayı: 1

ON THE (DELTA,f)-LACUNARY STATISTICAL CONVERGENCE OF THE FUNCTIONS

Bayram SÖZBİR
Selma ALTUNDAĞ
Metin BASARIR
Pages
1–8
Publication Date
2020-04-30
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Furthermore, we obtain necessary and sufficient conditions for the equivalence of ∆f-convergence and ∆f -lacunary statistical convergence on a time scale.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce the concept of ∆f -lacunary statistical convergence for a ∆-measurable real-valued function defined on time scale, where f is an unbounded modulus.
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Key Findings & Data:Our motivation here is that this definition includes many well-known concepts which already exist in the literature.
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Conclusion & Impact:Furthermore, we obtain necessary and sufficient conditions for the equivalence of ∆f-convergence and ∆f -lacunary statistical convergence on a time scale.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Modulus function · lacunary statistical convergence · delta measure on time scale

Abstract

In this paper, we introduce the concept of ∆f -lacunary statistical convergence for a ∆-measurable real-valued function defined on time scale, where f is an unbounded modulus. Our motivation here is that this definition includes many well-known concepts which already exist in the literature. We also define strong ∆f -lacunary Cesaro summability on a time scale and give some results related to these new concepts. Furthermore, we obtain necessary and sufficient conditions for the equivalence of ∆f-convergence and ∆f -lacunary statistical convergence on a time scale.

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Cite This Article

SÖZBİR, B., ALTUNDAĞ, S., BASARIR, M. (2020). ON THE (DELTA,f)-LACUNARY STATISTICAL CONVERGENCE OF THE FUNCTIONS. Maltepe Journal of Mathematics, Cilt: 2 - Sayı: 1, 1–8. https://ajindex.com/articles/789000

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