On Deferred Statistical Convergence of Fuzzy Difference Sequence and Applications

P. Baliarsingh () and L. Nayak
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P. Baliarsingh: Department of Mathematics, Gangadhar Meher University, Sambalpur, 768004, Odisha, India
L. Nayak: Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology, Bhubaneswar 751024, India

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 03, 931-944

Abstract: In this paper, we introduce the idea of deferred statistical convergence using fractional difference operator of order β for the sequence of fuzzy numbers. Also, we establish some relations between this idea and the strong deferred-summable fractional difference sequences of fuzzy numbers. As an application, we apply the idea of newly defined statistical convergence for proving fuzzy Korovkin-type approximation theorem.

Keywords: Fuzzy sequence; difference operator; statistical convergence; Fuzzy-deferred Cesà ro mean; fuzzy number; deferred statistical convergence; fuzzy-type Korovkin-theorem (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S1793005722500442

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