Some Generalized Fractional Integral Inequalities for Convex Functions with Applications

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dc.contributor.authorDafang Zhao
dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorChanon Promsakon
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceM.A. Ali; Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China; email: mahr.muhammad.aamir@gmail.com; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
dc.date.accessioned2025-03-10T07:35:06Z
dc.date.available2025-03-10T07:35:06Z
dc.date.issued2022
dc.description.abstractIn this paper, we establish a generalized fractional integrals identity involving some parameters and differentiable functions. Then, we use the newly established identity and prove different generalized fractional integrals inequalities like midpoint inequalities, trapezoidal inequalities and SimpsonÕs inequalities for differentiable convex functions. Finally, we give some applications of newly established inequalities in the context of quadrature formulas. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
dc.identifier.citationFractal and Fractional
dc.identifier.doi10.3390/fractalfract6020094
dc.identifier.issn25043110
dc.identifier.scopus2-s2.0-85124655174
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4596
dc.languageEnglish
dc.publisherMDPI
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectConvex functions
dc.subjectFractional calculus
dc.subjectMidpoint inequalities
dc.subjectSimpsonÕs inequalities
dc.subjectTrapezoid inequalities
dc.titleSome Generalized Fractional Integral Inequalities for Convex Functions with Applications
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85124655174&doi=10.3390%2ffractalfract6020094&partnerID=40&md5=89388e8e19272daae791e1832c4cac96
oaire.citation.issue2
oaire.citation.volume6
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