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.
Authors
- Swati Jasrotia (ORCID: https://orcid.org/0000-0002-8141-2108)
- Kuldip Raj (ORCID: https://orcid.org/0000-0002-2611-3391)
- Sanjeev Verma (ORCID: https://orcid.org/0000-0001-9505-3583)
- Mohammad Mursaleen (ORCID: https://orcid.org/0000-0003-4128-0427)
Institutions
- Aligarh Muslim University (IN)
- China Medical University (TW)
- China Medical University Hospital (TW)
- Shri Mata Vaishno Devi University (IN)
- Saveetha University (IN)
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
- Field-Weighted Citation Impact
- 0.00