Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/10352
Title: Abel transforms of convolution operators
Authors: Atllıhan, Özlem Girgin
Ünver, M.
Keywords: Abel convergence
convolution operator
Korovkin type approximation theorem
Publisher: Walter de Gruyter GmbH
Abstract: The classical Korovkin approximation theory deals with the convergence of a given sequence {L n } of positive linear operators on C[a,b]. When the sequence of positive linear operators does not converge to the identity operator it may be useful to use some summability methods. In this paper, we study some Korovkin type approximation theorems for the sequences of convolution operators via the Abel method, which is a sequence-to-function transformation. We also deal with the rate of Abel convergence. © 2015 by De Gruyter 2015.
URI: https://hdl.handle.net/11499/10352
https://doi.org/10.1515/gmj-2015-0025
ISSN: 1072-947X
Appears in Collections:Fen-Edebiyat Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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