Novel Ostrowski-Type Inequalities for Generalized Fractional Integrals and Diverse Function Classes

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dc.authoridBARAKAT, MOHAMED/0000-0003-4036-6368
dc.authoridHyder, Abd-Allah/0000-0001-9273-9512
dc.authoridBudak, Huseyin/0000-0001-8843-955X
dc.contributor.authorAlmoneef, Areej A.
dc.contributor.authorHyder, Abd-Allah
dc.contributor.authorBarakat, Mohamed A.
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2025-10-11T20:47:48Z
dc.date.available2025-10-11T20:47:48Z
dc.date.issued2024
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this work, novel Ostrowski-type inequalities for dissimilar function classes and generalized fractional integrals (FITs) are presented. We provide a useful identity for differentiable functions under FITs, which results in special expressions for functions whose derivatives have convex absolute values. A new condition for bounded variation functions is examined, as well as expansions to bounded and Lipschitzian derivatives. Our comprehension is improved by comparison with current findings, and recommendations for future study areas are given.en_US
dc.description.sponsorshipKing Khalid Universityen_US
dc.description.sponsorshipPrincess Nourah bint Abdulrahman University [PNURSP2024R337]en_US
dc.description.sponsorship[RGP.2/82/45]en_US
dc.description.sponsorshipThis research was funded by King Khalid University, Grant (RGP.2/82/45) and Princess Nourah bint Abdulrahman University, Grant (PNURSP2024R337).en_US
dc.identifier.doi10.3390/fractalfract8090534
dc.identifier.issn2504-3110
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-85205219286en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract8090534
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21570
dc.identifier.volume8en_US
dc.identifier.wosWOS:001323768300001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofFractaland Fractionalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectOstrowski-type inequalitiesen_US
dc.subjectfractional integralsen_US
dc.subjectfunction classesen_US
dc.titleNovel Ostrowski-Type Inequalities for Generalized Fractional Integrals and Diverse Function Classesen_US
dc.typeArticleen_US

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