Decision-Making on Deferred Statistical Convergence of Measurable Functions of Two Variables

Authors

  • Devia Narrania School of Mathematic, Shri Mata Vaishno Devi University, Katra-182320, J & K, India
  • Kuldip Raj School of Mathematic, Shri Mata Vaishno Devi University, Katra-182320, J & K, India
  • Sunil K. Sharma School of Mathematic, Shri Mata Vaishno Devi University, Katra-182320, J & K, India
  • Thwiba A. Khalid Department of Mathematics, Faculty of Science, Al-Baha University, Albaha 65525, Saudi Arabia
  • Arafa O. Mustafa College of Business at Khulis, University of Jeddah, Jeddah, Saudi Arabia
  • Runda A. A. Bashir Department of Mathematics, Applied college, University of Jeddah, Jeddah, Saudi Arabia
  • Mustafa M. Mohammed Department of Mathematics, Applied college, University of Jeddah, Jeddah, Saudi Arabia
  • Awad A. Bakery Department of Mathematics, Applied college, University of Jeddah, Jeddah, Saudi Arabia

DOI:

https://doi.org/10.37256/cm.5420245513

Keywords:

lebesgue measure, statistical convergence, deferred statistical convergence, strongly deferred cesàro mean

Abstract

In this paper, we define and study strongly deferred Cesàro summable, strongly Cesàro summable, m-statistical convergence and m-deferred statistical convergence of real-valued Lebesgue measurable functions of two variables. Further, we present illustrative examples in support of our definitions. Also, we examine some properties and relations among these concepts under some restrictions. In addition, we present illustrative examples to show the essentiality of these restrictions.

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Published

2024-11-27

Issue

Contemporary Mathematics, Volume 5 Issue 4 (2024), 4132-6581

Section

Research Article

License

Copyright (c) 2024 Arafa O. Mustafa, et al.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Decision-Making on Deferred Statistical Convergence of Measurable Functions of Two Variables. Contemp. Math. [Internet]. 2024 Nov. 27 [cited 2025 Dec. 24];5(4):5518-33. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/5513