Lacunary I-convergent σ-asymptotically equivalent difference sequences of fuzzy real numbers

In this paper we introduce the concept lacunary (Δ, σ), I-asymptotically equivalent sequences of fuzzy real numbers in terms of Orlicz function, which is a natural combination for the definition of asymptotic equivalent, σ-convergence, difference sequence, Istatistically limit, I-statistically lacunary sequences and Orlicz function of fuzzy real numbers. We have established some relations between the classes of the sequences related to our study.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-02-21
DOI
https://doi.org/10.5269/bspm.67390
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

Lacunary I-convergent σ-asymptotically equivalent difference sequences of fuzzy real numbers

Botchu Vara Siva Jyoti, Dutta Amar Jyoti
Boletim da Sociedade Paranaense de Matemática
Approximation Theory and Sequence Spaces
article

Lacunary I-convergent σ-asymptotically equivalent difference sequences of fuzzy real numbers

Botchu Vara Siva Jyoti, Dutta Amar Jyoti
article en

Abstract

In this paper we introduce the concept lacunary (Δ, σ), I-asymptotically equivalent sequences of fuzzy real numbers in terms of Orlicz function, which is a natural combination for the definition of asymptotic equivalent, σ-convergence, difference sequence, Istatistically limit, I-statistically lacunary sequences and Orlicz function of fuzzy real numbers. We have established some relations between the classes of the sequences related to our study.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Gauhati University (IN), Institute of Advanced Study in Science and Technology (IN)
Openalex Percentile: Top 84%
Approximation Theory and Sequence Spaces
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