Modulated Lacunary 𠒫-Statistical Convergence of Order γ of Sequences of Fuzzy Functions

Kuldip Raj (), Devia Narrania () and Ayhan Esi
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Kuldip Raj: School of Mathematics, Shri Mata Vaishno Devi University, Katra 182320, Jammu and Kashmir, India
Devia Narrania: School of Mathematics, Shri Mata Vaishno Devi University, Katra 182320, Jammu and Kashmir, India
Ayhan Esi: Engineering Faculty, Department of Basic Engineering, Sciences (Math. Sect.), Malatya Turgut Ozal University, 44100, Malatya, Turkey

New Mathematics and Natural Computation (NMNC), 2024, vol. 20, issue 03, 899-915

Abstract: The central objective of this paper is to investigate the lacunary statistical convergence of order γ and strong lacunary summability of order γ for sequences of fuzzy functions by using the modulus function and a regular matrix. We examine the relevant inclusion relations between these spaces under specific conditions. Additionally, we study properties related to these spaces and establish several interesting results.

Keywords: Fuzzy function; lacunary sequence; statistical convergence; regular matrix; modulus function (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S1793005724500479

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