Integral bounds for differentiable functions via monotone derivative constraints and their applications

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dc.contributor.authorSarikaya, Mehmet Zeki
dc.date.accessioned2026-07-01T11:40:06Z
dc.date.available2026-07-01T11:40:06Z
dc.date.issued2026
dc.departmentDüzce Üniversitesi
dc.description.abstractThis paper develops new integral inequalities that bound the deviation of a differentiable function from its mean using \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L<^>1$$\end{document}-bounded first and second derivatives. By leveraging monotonicity properties of these bounding functions, we refine classical Ostrowski-type results to obtain sharper and more general estimates. Several corollaries, including constant-bound cases, are also presented with rigorous proofs based primarily on Taylor expansions and integral inequalities.
dc.identifier.doi10.1007/s12215-025-01357-8
dc.identifier.issn0009-725X
dc.identifier.issn1973-4409
dc.identifier.issue2
dc.identifier.orcid0000-0002-6165-9242
dc.identifier.scopus2-s2.0-105028099394
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s12215-025-01357-8
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23644
dc.identifier.volume75
dc.identifier.wosWOS:001665635100001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorSarikaya, Mehmet Zeki
dc.language.isoen
dc.publisherSpringer-Verlag Italia Srl
dc.relation.ispartofRendiconti Del Circolo Matematico Di Palermo
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260623
dc.subject[Keyword Not Available]
dc.titleIntegral bounds for differentiable functions via monotone derivative constraints and their applications
dc.typeArticle

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