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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 69 Issue: 1

Generalized difference sequence spaces of fractional order defined by Orlicz functions

Nazlım Deniz Aral(BITLIS EREN UNIVERSITY)0000-0002-8984-2620
Mikail Et(FIRAT UNIVERSITY)0000-0001-8292-7819
Pages
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Publication Date
2020-06-30
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AI Summary & Key Takeaways

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

We establish some connections between Δ^{α}-lacunary strongly convergence of order β and Δ^{α}-lacunary statistical convergence of order β.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main purpose of this paper is to introduce the concepts of Δ^{α}-lacunary statistical convergence of order β (0<β≤1) with the fractional order of α and Δ^{α}-lacunary strongly convergence of order β (0<β≤1) with the fractional order of α.
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Key Findings & Data:The main purpose of this paper is to introduce the concepts of Δ^{α}-lacunary statistical convergence of order β (0<β≤1) with the fractional order of α and Δ^{α}-lacunary strongly convergence of order β (0<β≤1) with the fractional order of α.
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Conclusion & Impact:We establish some connections between Δ^{α}-lacunary strongly convergence of order β and Δ^{α}-lacunary statistical convergence of order β.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Difference sequence · Statistical convergence · Lacunary sequence

Abstract

The main purpose of this paper is to introduce the concepts of Δ^{α}-lacunary statistical convergence of order β (0<β≤1) with the fractional order of α and Δ^{α}-lacunary strongly convergence of order β (0<β≤1) with the fractional order of α. We establish some connections between Δ^{α}-lacunary strongly convergence of order β and Δ^{α}-lacunary statistical convergence of order β.

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Cite This Article

Aral, N. D., Et, M. (2020). Generalized difference sequence spaces of fractional order defined by Orlicz functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 1. https://doi.org/10.31801/cfsuasmas.628863

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