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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Kuldip Raj & Devia Narrania & Ayhan Esi, 2024. "Modulated Lacunary ð ’«-Statistical Convergence of Order γ of Sequences of Fuzzy Functions," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 20(03), pages 899-915, November.
  • Handle: RePEc:wsi:nmncxx:v:20:y:2024:i:03:n:s1793005724500479
    DOI: 10.1142/S1793005724500479
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