New Inequalities of Bullen-type for Twice-Differentiable Functions via Conformable Fractional Integrals

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dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, H¨Useyin
dc.date.accessioned2025-10-11T20:45:19Z
dc.date.available2025-10-11T20:45:19Z
dc.date.issued2024
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, an equality for the case of twice-differentiable convex functions is established by the conformable fractional integrals. In addition, sundry Bullen-type inequalities are acquired by conformable fractional integrals for the case of twice-differentiable functions. Moreover, several Bullen-type inequalities are obtained by taking advantage of the convexity, the Hölder inequality, and the power mean inequality. Finally, we derive our important results by using special cases of obtained theorems. In future studies, the ideas and strategies for our results related Bullen-type inequalities by conformable fractional integrals may open new ways for mathematicians in this area. © 2025 Elsevier B.V., All rights reserved.en_US
dc.identifier.doi10.1007/s40819-024-01804-7
dc.identifier.issn2199-5796
dc.identifier.issn2349-5103
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85208736405en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s40819-024-01804-7
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21280
dc.identifier.volume10en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofInternational Journal of Applied and Computational Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_Scopus_20250911
dc.subject26a33en_US
dc.subject26d07en_US
dc.subject26d10en_US
dc.subjectBullen-type Inequalitiesen_US
dc.subjectConformable Fractional Integralsen_US
dc.subjectConvex Functionsen_US
dc.subjectRiemann–liouville Fractional Integralsen_US
dc.titleNew Inequalities of Bullen-type for Twice-Differentiable Functions via Conformable Fractional Integralsen_US
dc.typeArticleen_US

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