Some New Generalized Fractional Newton's Type Inequalities for Convex Functions

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dc.contributor.authorJarunee Soontharanon
dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorHŸseyin Budak
dc.contributor.authorPinar Kšsem
dc.contributor.authorKamsing Nonlaopon
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceK. Nonlaopon; Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand; email: nkamsi@kku.ac.th
dc.date.accessioned2025-03-10T07:35:07Z
dc.date.available2025-03-10T07:35:07Z
dc.date.issued2022
dc.description.abstractIn this paper, we establish some new Newton's type inequalities for differentiable convex functions using the generalized Riemann-Liouville fractional integrals. The main edge of the newly established inequalities is that these can be turned into several new and existing inequalities for different fractional integrals like Riemann-Liouville fractional integrals, k-fractional integrals, Katugampola fractional operators, conformable fractional operators, Hadamard fractional operators, and fractional operators with the exponential kernel without proving one by one. It is also shown that the newly established inequalities are the refinements of the previously established inequalities inside the literature. © 2022 Jarunee Soontharanon et al.
dc.identifier.citationJournal of Function Spaces
dc.identifier.doi10.1155/2022/6261970
dc.identifier.issn23148896
dc.identifier.scopus2-s2.0-85138500844
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4658
dc.languageEnglish
dc.publisherHindawi Limited
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.titleSome New Generalized Fractional Newton's Type Inequalities for Convex Functions
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85138500844&doi=10.1155%2f2022%2f6261970&partnerID=40&md5=d1122343bc25872d9f4450dffcd37c2f
oaire.citation.volume2022
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