Statistical Convergence of Δ-Spaces Using Fractional Order

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Abstract

The notion of fractional structures has been studied intensely in various fields. Using this concept, the main idea of this paper is to apply the Cesàro approach and introduce the new generalized (Formula presented.) -structure of spaces on a fractional level. Also, the statistical notions will be studied using this new structure and some inclusion relations will be computed. In addition, the sequence space (Formula presented.) will be introduced, and some fundamental inclusion relations and topological properties concerning it will be given.

Original languageEnglish
Article number1685
JournalSymmetry
Volume14
Issue number8
DOIs
StatePublished - Aug 2022

Keywords

  • convergence
  • fractional operator
  • gamma function

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