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Journals / Konuralp Journal of Mathematics / 2026 / Volume: 10 Issue: 1

Some Geometric Properties of Bicomplex Sequence Spaces $l_{p}\left(\mathbb{BC}\right) $

Nilay Değirmen(ONDOKUZ MAYIS UNIVERSITY)0000-0001-8192-8473
Birsen Sağır Duyar(ONDOKUZ MAYIS UNIVERSITY)0000-0001-5954-2005
Pages
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Publication Date
2022-04-15
DOI
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AI Summary & Key Takeaways

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

We also furnish some nontrivial examples that support our findings for geometric properties not provided in some of these bicomplex sequence spaces.

📌 3 Key Takeaways

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Objective & Hypothesis:In this article, we examine some geometric properties such as convexity, strictly convexity, uniformly convexity of bicomplex sequence spaces $ l_{p}\left( \mathbb{BC}\right) $ with Euclidean norm by proving some significant inequalities.
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Key Findings & Data:In this article, we examine some geometric properties such as convexity, strictly convexity, uniformly convexity of bicomplex sequence spaces $ l_{p}\left( \mathbb{BC}\right) $ with Euclidean norm by proving some significant inequalities.
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Conclusion & Impact:We also furnish some nontrivial examples that support our findings for geometric properties not provided in some of these bicomplex sequence spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:bicomplex sequence spaces · convexity · strictly convexity

Abstract

In this article, we examine some geometric properties such as convexity, strictly convexity, uniformly convexity of bicomplex sequence spaces $ l_{p}\left( \mathbb{BC}\right) $ with Euclidean norm by proving some significant inequalities. We also furnish some nontrivial examples that support our findings for geometric properties not provided in some of these bicomplex sequence spaces.

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Cite This Article

Değirmen, N., Duyar, B. S. (2022). Some Geometric Properties of Bicomplex Sequence Spaces $l_{p}\left(\mathbb{BC}\right) $. Konuralp Journal of Mathematics, Volume: 10 Issue: 1. https://ajindex.com/articles/1521562

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References (13)

  1. C. Segre, Le rappresentazioni reali delle forme complesse e gli enti iperalgebrici, Math. Ann., Vol:40, No.3 (1892), 413-467.
  2. G. B. Price, An introduction to multicomplex spaces and functions, M. Dekker, 1991.
  3. M. E. Luna-Elizarraras, M. Shapiro, D. C. Struppa and A. Vajiac, Bicomplex numbers and their elementary functions, Cubo (Temuco), Vol:14, No.2 (2012), 61-80.
  4. D. Alpay, M. E. Luna-Elizarrar´as, M. Shapiro and D. C. Struppa, Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis, Springer Science & Business Media, 2014.
  5. M. E. Luna-Elizarrar´as, M. Shapiro, D. C. Struppa and A. Vajiac, Bicomplex holomorphic functions: The algebra, geometry and analysis of bicomplex numbers, Birkh¨auser, 2015.
  6. N. Sager and B. Sa˘gır, On completeness of some bicomplex sequence spaces, Palest. J. Math., Vol:9, No.2 (2020), 891-902.
  7. R. P. Agarwal, D. O’Regan and D. R. Sahu, Fixed point theory for Lipschitzian-type mappings with applications (Vol. 6), New York:Springer, 2006.
  8. R. E. Castillo and H. Rafeiro, An introductory course in Lebesgue spaces, Switzerland: Springer, 2016.
  9. B. Sa˘gır and˙I Alas¸alvar, On geometric properties of weighted Lebesgue sequence spaces, Ikonion Journal of Mathematics, Vol:1, No.1 (2019), 18-25.
  10. N. G¨ung¨or, Some geometric properties of the non-Newtonian sequence spaces lp (N), Math. Slovaca, Vol:70, No.3 (2020), 689-696.
  11. G. K¨othe, Topological vector spaces I, Springer-Verlag Berlin, Heidelberg, 1983.
  12. H. Jarchow, Locally convex space, BG Teubner, Stuttgart, 1981.
  13. J. Yeh, Real Analysis: Theory of measure and integration second edition, World Scientific Publishing Company, 2006.