A New Approach to Hermite-Hadamard-Type Inequality with Proportional Caputo-Hybrid Operator

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dc.contributor.authorDemir, İzzettin
dc.contributor.authorTunç, Tuba
dc.contributor.authorSarıkaya, Mehmet Zeki
dc.date.accessioned2026-07-01T11:36:28Z
dc.date.available2026-07-01T11:36:28Z
dc.date.issued2025
dc.departmentDüzce Üniversitesi
dc.description.abstractFractional calculus plays a crucial role in mathematics and applied sciences as it extends classical analysis, overcoming many of its constraints. Moreover, using the innovative hybrid fractional operator, which merges the proportional and Caputo operators, is beneficial in numerous domains of computer science and mathematics. In this study, we focus on the proportional Caputo-hybrid operator due to its wide range of applications. Firstly, we present a new extension of Hermite-Hadamard-type inequalities for the proportional Caputo-hybrid operator and derive an identity. Then, utilizing this novel generalized identity, we establish significant integral inequalities associated with the right-hand side of Hermite-Hadamard-type inequalities for the proportional Caputo-hybrid operator. Furthermore, we provide illustrative examples accompanied by the graphs to demonstrate the newly established inequalities. © 2025, Global Science Press. All rights reserved.
dc.identifier.doi10.12150/jnma.2025.2137
dc.identifier.endpage2156
dc.identifier.issn2562-2854
dc.identifier.issue6
dc.identifier.scopus2-s2.0-105025106171
dc.identifier.scopusqualityQ2
dc.identifier.startpage2137
dc.identifier.urihttps://doi.org/10.12150/jnma.2025.2137
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23056
dc.identifier.volume7
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherGlobal Science Press
dc.relation.ispartofJournal of Nonlinear Modeling and Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260623
dc.subjectconvex functions
dc.subjectHermite-Hadamard-type inequalities
dc.subjectproportional Caputo-Hybrid operator
dc.subjecttrapezoid-type inequalities
dc.titleA New Approach to Hermite-Hadamard-Type Inequality with Proportional Caputo-Hybrid Operator
dc.typeArticle

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