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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 |
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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