Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/3983
Title: Characterization of Absolute and Uniform Continuity
Authors: Aslan, İsmail
Duman, Oktay
Keywords: Summability process
absolute continuity
uniform continuity
nonlinear integral operators
bounded variation
Issue Date: 2020
Publisher: Hacettepe University
Hacettepe Üniversitesi
Source: Aslan, I., & Duman, O. (2020). Characterization of absolute and uniform continuity. Hacettepe Journal of Mathematics and Statistics, 1-16.
Abstract: In the present paper, by considering nonlinear integral operators and using their approximations via regular summability methods, we obtain characterizations for some function spaces including the space of absolutely continuous functions, the space of uniformly continuous functions, and their other variants. We observe that Bell-type summability methods are quite effective to generalize and improve some related results in the literature. At the end of the paper, we discuss some special cases and applications.
URI: https://search.trdizin.gov.tr/yayin/detay/418499
https://hdl.handle.net/20.500.11851/3983
https://doi.org/10.15672/hujms.585581
ISSN: 2651-477X
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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