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Journals / Sigma Journal of Engineering and Natural Sciences / 2017 / Volume: 35 Issue: 4

ON SOME NEW I-CONVERGENT DOUBLE SEQUENCE SPACES OF INVARIANT MEANS DEFINED BY IDEAL AND MODULUS FUNCTION

Vakeel A. Khan(Department of Mathematics, Aligarh Muslim University)0000-0002-4132-0954
Hira Fatıma(Department of Mathematics, Aligarh Muslim University)0000-0003-0407-6072
Sameera A. A. Abdullah(Department of Mathematics, Aligarh Muslim University)0000-0003-4094-2978
Kamal M. A. S. Alshlool(Department of Mathematics, Aligarh Muslim University)0000-0003-0029-2405
Pages
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Publication Date
2017-12-01
DOI
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AI Summary & Key Takeaways

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

Furthermore, we also study several properties relevant to topological structures and inclusion relations between these spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The sequence space BV_(σ )was introduced and studied by Mursaleen [Houston J.
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Key Findings & Data:Math. 9, 505-509 (1983; Zbl 0542.40003)].
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Conclusion & Impact:Furthermore, we also study several properties relevant to topological structures and inclusion relations between these spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bounded variation · invariant mean · σ-Bounded variation

Abstract

The sequence space BV_(σ )was introduced and studied by Mursaleen [Houston J. Math. 9, 505-509 (1983; Zbl 0542.40003)]. The main aim of this paper is to study some new double sequence spaces of invariant means defined by ideal and modulus function. Furthermore, we also study several properties relevant to topological structures and inclusion relations between these spaces.

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Cite This Article

Khan, V. A., Fatıma, H., Abdullah, S. A. A., Alshlool, K. M. A. S. (2017). ON SOME NEW I-CONVERGENT DOUBLE SEQUENCE SPACES OF INVARIANT MEANS DEFINED BY IDEAL AND MODULUS FUNCTION. Sigma Journal of Engineering and Natural Sciences, Volume: 35 Issue: 4. https://ajindex.com/articles/1632895

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