HG-CONVEX FUNCTIONS

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In this paper, the concept of Hg-convex function is given for the first time in the literature. Some inequalities of Hadamard's type for Hg-convex functions are given. Some algebraic properties of Hg-convex functions and special cases are discussed. In addition, we establish some new integral inequalities for Hg-convex functions by using an integral identity.

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dc.contributor.authorGülsu, Nagihan kurt
dc.contributor.authorIscan, Imdat
dc.contributor.authorKadakal, Mahir
dc.contributor.authorBekar, Kerim
dc.date.accessioned2026-10-29T19:13:02.084538570Z
dc.date.available2026-10-29T19:13:02.084538570Z
dc.date.issued2024
dc.description.abstractIn this paper, the concept of Hg-convex function is given for the first time in the literature. Some inequalities of Hadamard's type for Hg-convex functions are given. Some algebraic properties of Hg-convex functions and special cases are discussed. In addition, we establish some new integral inequalities for Hg-convex functions by using an integral identity.
dc.identifier.doi10.46939/j.sci.arts-24.4-a08
dc.identifier.eissn2068-3049
dc.identifier.endpage866
dc.identifier.issn1844-9581
dc.identifier.issue4
dc.identifier.startpage855
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/14198
dc.identifier.wosWOS:001386506200008
dc.language.isoen
dc.publisherEDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE
dc.relation.ispartofJOURNAL OF SCIENCE AND ARTS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectConvex function
dc.subjectHg-convex
dc.subjectHermite-Hadamard inequality
dc.subject.classificationMultidisciplinary Sciences
dc.subject.classificationScience & Technology - Other Topics
dc.titleHG-CONVEX FUNCTIONS
dc.typeArticle
rdl.citation.openalex0
rdl.citation.wos0
rdl.oa.statushybrid
rdl.oa.urlhttps://doi.org/10.46939/j.sci.arts-24.4-a08
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)