Wijsman summability through Orlicz Function Sequences

The Wijsman convergence is a type of convergence for sequences of closed sets in metric spaces, utilizing the distance from a point to a set. This study introduces a new sequence space by defining a summability concept for sequences of closed sets in the Wijsman sense, using sequences of Orlicz functions. Various inclusion theorems related to the space of Wijsman statistically convergent sequences of sets have been presented, considering different parameters used in the definition of this set sequence space. Additionally, in the obtained results, a concept of density has been employed using weight functions instead of asymptotic density.

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Journal
Muş Alparslan Üniversitesi Fen Bilimleri Dergisi
Published
2024-11-20
DOI
https://doi.org/10.18586/msufbd.1551410
Primary Topic
Approximation Theory and Sequence Spaces
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article
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Wijsman summability through Orlicz Function Sequences

Erdal Bayram
Muş Alparslan Üniversitesi Fen Bilimleri Dergisi
Approximation Theory and Sequence Spaces
article

Wijsman summability through Orlicz Function Sequences

Erdal Bayram
article en

Abstract

The Wijsman convergence is a type of convergence for sequences of closed sets in metric spaces, utilizing the distance from a point to a set. This study introduces a new sequence space by defining a summability concept for sequences of closed sets in the Wijsman sense, using sequences of Orlicz functions. Various inclusion theorems related to the space of Wijsman statistically convergent sequences of sets have been presented, considering different parameters used in the definition of this set sequence space. Additionally, in the obtained results, a concept of density has been employed using weight functions instead of asymptotic density.

Muş Alparslan Üniversitesi Fen Bilimleri DergisiVol. 12(2)
Tekirdağ Namık Kemal University (TR)
Reduced inequalities
Openalex Percentile: Top 79%
Approximation Theory and Sequence Spaces
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