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Title: Regular integral transformations on time scales and generalized statistical convergence
Authors: Yalçın, Ceylan Turan
Duman, Oktay
Keywords: Statistical convergence
regular summability methods
Ces?ro summability
delta measure on time scales
time scales
integral transformation
Dynamic Equations
Issue Date: 2023
Publisher: Univ Nis, Fac Sci Math
Abstract: In this work, using regular integral transformations on time scales, we generalize the concept of statistical convergence. This enables us not only to unify discrete and continuous cases known in the literature but also to derive new convergence methods with choices of appropriate transformations and time scales. This is a continuation of our earlier work and includes many new methods. We obtain sufficient conditions for regularity of kernel functions on time scales and also we prove a characterization theorem for the generalized statistical convergence. At the end of the paper we display some applications and special cases of our results.
ISSN: 0354-5180
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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