Wijsman summability through Orlicz Function Sequences

Authors : Erdal Bayram

Pages : 100-105

Doi:10.18586/msufbd.1551410

View : 50 | Download : 63

Publication Date : 2024-12-30

Article Type : Research Paper

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.
Keywords : Yoğunluk, Orlicz fonksiyonu, İstatistiksel yakınsaklık, Wijsman yakınsaklık