Exponential Convex Functions with Respect to s

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In this paper, we study the concept of exponential convex functions with respect to s and prove Hermite-Hadamard type inequalities for the newly introduced this class of functions. In addition, we get some refinements of the Hermite-Hadamard (HH) inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is exponential convex with respect to s. Our results coincide with the results obtained previously in special cases.

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dc.contributor.authorKadakal, Mahir
dc.date.accessioned2026-10-29T19:10:12.197294992Z
dc.date.available2026-10-29T19:10:12.197294992Z
dc.date.issued2024
dc.description.abstractIn this paper, we study the concept of exponential convex functions with respect to s and prove Hermite-Hadamard type inequalities for the newly introduced this class of functions. In addition, we get some refinements of the Hermite-Hadamard (HH) inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is exponential convex with respect to s. Our results coincide with the results obtained previously in special cases.
dc.identifier.doi10.22130/scma.2023.1999303.1281
dc.identifier.endpage287
dc.identifier.issn2322-5807
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85189019972
dc.identifier.startpage275
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/12898
dc.identifier.volume21
dc.identifier.wosWOS:001196656700015
dc.language.isoen
dc.publisherUniversity of Maragheh
dc.relation.ispartofSahand Communications in Mathematical Analysis
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectConvex function
dc.subjectExponential convex functions with respect to s
dc.subjectHermite-Hadamard inequality
dc.subject.classificationMathematics
dc.subject.otherINEQUALITIES
dc.titleExponential Convex Functions with Respect to s
dc.typeArticle
rdl.citation.scopus1
rdl.citation.wos2
rdl.oa.statusclosed
rdl.scopus.quartileQ3
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)