Egorov’s Theorem Via Deferred Cesàro Statistical Convergence in Measure for Fuzzy Valued Sequences

In this article, we introduce and study deferred Cesàro statistical convergence in measure by virtue of sequences of fuzzy valued measurable functions. We define inner and outer deferred Cesàro statistical convergence in measure for sequences of fuzzy valued measurable functions and exhibit that in a finite measurable set, both types of convergence are equal. Finally, we prove the new version of Egorov’s theorem by using deferred Cesàro statistical convergence for the sequences of fuzzy valued functions in finite measurable spaces.

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Publication Details

Journal
Journal of Intelligent & Fuzzy Systems
Published
2025-08-11
DOI
https://doi.org/10.1177/18758967251364490
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

Egorov’s Theorem Via Deferred Cesàro Statistical Convergence in Measure for Fuzzy Valued Sequences

Swati Jasrotia, Kuldip Raj, Sanjeev Verma, Mohammad Mursaleen
Journal of Intelligent & Fuzzy Systems
Approximation Theory and Sequence Spaces
article

Egorov’s Theorem Via Deferred Cesàro Statistical Convergence in Measure for Fuzzy Valued Sequences

Swati Jasrotia, Kuldip Raj, Sanjeev Verma, Mohammad Mursaleen
article en

Abstract

In this article, we introduce and study deferred Cesàro statistical convergence in measure by virtue of sequences of fuzzy valued measurable functions. We define inner and outer deferred Cesàro statistical convergence in measure for sequences of fuzzy valued measurable functions and exhibit that in a finite measurable set, both types of convergence are equal. Finally, we prove the new version of Egorov’s theorem by using deferred Cesàro statistical convergence for the sequences of fuzzy valued functions in finite measurable spaces.

Journal of Intelligent & Fuzzy SystemsVol. 50(3)
Aligarh Muslim University (IN), China Medical University (TW), China Medical University Hospital (TW), Shri Mata Vaishno Devi University (IN), Saveetha University (IN)
Openalex Percentile: Top 80%
Approximation Theory and Sequence Spaces
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