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Title: Hardy-Type Tauberian Conditions on Time Scales
Authors: Yalçın, Ceylan Turan
Duman, Oktay
Keywords: Statistical convergence
Time scales
Tauberian theorems
Ces`aro summability
Issue Date: 1-Oct-2018
Publisher: Birkhauser Verlag AG
Source: Yalçın, C. T., & Duman, O. (2018). Hardy-Type Tauberian Conditions on Time Scales. Mediterranean Journal of Mathematics, 15(5), 198.
Abstract: Hardy’s well-known Tauberian theorem for number sequences states that if a sequence x= (xk) satisfies lim Cx= L and Δ xk: = xk + 1- xk= O(1 / k) , then lim x= L, where Cx denotes the Cesàro mean (arithmetic mean) of x. In this study, we extend this result to the theory of time scales. We also discuss the theory on some special time scales.
ISSN: 1660-5446
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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