HermiteÐhadamardÐmercer-type inequalities for harmonically convex mappings

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dc.contributor.authorXuexiao You
dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorHŸseyin Budak
dc.contributor.authorJiraporn Reunsumrit
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.accessioned2025-03-10T07:35:28Z
dc.date.available2025-03-10T07:35:28Z
dc.date.issued2021
dc.description.abstractIn this paper, we prove HermiteÐHadamardÐMercer inequalities, which is a new version of the HermiteÐHadamard inequalities for harmonically convex functions. We also prove HermiteÐ HadamardÐMercer-type inequalities for functions whose first derivatives in absolute value are harmonically convex. Finally, we discuss how special means can be used to address newly discovered inequalities. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
dc.identifier.citationMathematics
dc.identifier.doi10.3390/math9202556
dc.identifier.issn22277390
dc.identifier.scopus2-s2.0-85117443024
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4701
dc.languageEnglish
dc.publisherMDPI
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectHarmonically convex function
dc.subjectHermiteÐHadamardÐMercer inequality
dc.subjectJensen inequality
dc.titleHermiteÐhadamardÐmercer-type inequalities for harmonically convex mappings
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85117443024&doi=10.3390%2fmath9202556&partnerID=40&md5=1b9057e43d87b99b2861d1b033e2e73c
oaire.citation.issue20
oaire.citation.volume9
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