A STUDY OF FRACTIONAL HERMITE-HADAMARD-MERCER INEQUALITIES FOR DIFFERENTIABLE FUNCTIONS

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dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorMiguel Vivas-Cortez
dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorHŸseyin Budak
dc.contributor.authorIbrahim Avci
dc.contributor.correspondenceM. Vivas-Cortez; School of Physical and Mathematical Sciences, Faculty of Exact and Natural Sciences Pontifical Catholic, University of Ecuador, Quito, Av. 12 October 1076, Section, 17-01-2184, Ecuador; email: mjvivas@puce.edu.ec
dc.date.accessioned2025-03-10T07:34:21Z
dc.date.available2025-03-10T07:34:21Z
dc.date.issued2024
dc.description.abstractIn this work, we prove a parameterized fractional integral identity involving differentiable functions. Then, we use the newly established identity to establish some new parameterized fractional Hermite-Hadamard-Mercer-type inequalities for differentiable function. The main benefit of the newly established inequalities is that these inequalities can be converted into some new Mercer inequalities of midpoint type, trapezoidal type, and Simpson's type for differentiable functions. Finally, we show the validation of the results with the help of some mathematical examples and their graphs. © The Author(s)
dc.identifier.citationFractals
dc.identifier.doi10.1142/S0218348X24400164
dc.identifier.issn0218348X
dc.identifier.scopus2-s2.0-85183563941
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4505
dc.languageEnglish
dc.publisherWorld Scientific
dc.rightsAll Open Access; Hybrid Gold Open Access
dc.rights.holderScopus
dc.subjectJensen-Mercer Inequality
dc.subjectMidpoint Inequalities
dc.subjectSimpson's Inequalities
dc.subjectTrapezoidal Inequalities
dc.titleA STUDY OF FRACTIONAL HERMITE-HADAMARD-MERCER INEQUALITIES FOR DIFFERENTIABLE FUNCTIONS
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85183563941&doi=10.1142%2fS0218348X24400164&partnerID=40&md5=6784ab04c62a0afe887f9edd12dd5a20
oaire.citation.issue2
oaire.citation.volume32
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