On Some New MaclaurinÕs Type Inequalities for Convex Functions in q-Calculus

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dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorHŸseyin Budak
dc.contributor.correspondenceH. Budak; Department of Mathematics, Faculty of Science and Arts, DŸzce University, DŸzce, 81620, Turkey; email: hsyn.budak@gmail.com
dc.date.accessioned2025-03-10T07:34:44Z
dc.date.available2025-03-10T07:34:44Z
dc.date.issued2023
dc.description.abstractThis work establishes some new inequalities to find error bounds for MaclaurinÕs formulas in the framework of q-calculus. For this, we first prove an integral identity involving q-integral and q-derivative. Then, we use this new identity to prove some q-integral inequalities for q-differentiable convex functions. The inequalities proved here are very important in the literature because, with their help, we can find error bounds for MaclaurinÕs formula in both q and classical calculus. © 2023 by the authors.
dc.identifier.citationFractal and Fractional
dc.identifier.doi10.3390/fractalfract7080572
dc.identifier.issn25043110
dc.identifier.scopus2-s2.0-85169035685
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4517
dc.languageEnglish
dc.publisherMultidisciplinary Digital Publishing Institute (MDPI)
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectconvex functions
dc.subjectHermiteÐHadamard inequalities
dc.subjectMaclaurinÕs inequalities
dc.subjectq-calculus
dc.titleOn Some New MaclaurinÕs Type Inequalities for Convex Functions in q-Calculus
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85169035685&doi=10.3390%2ffractalfract7080572&partnerID=40&md5=9ff6445e43c58f7662089106fd79f01c
oaire.citation.issue8
oaire.citation.volume7
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