SOME NEW INTEGRAL INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES OF ABSOLUTE VALUES ARE CONVEX AND CONCAVE

dc.authoridEkinci, Alper/0000-0003-1589-2593
dc.contributor.authorOzdemir, M. Emin
dc.contributor.authorEkinci, Alper
dc.contributor.authorAkdemir, Ahmet Ocak
dc.date.accessioned2025-07-03T21:27:16Z
dc.date.issued2019
dc.departmentBalıkesir Üniversitesi
dc.description.abstractIn this paper, we prove some new inequalities for the functions whose derivatives' absolute values are convex and concave by dividing the interval [a, b] to n + 1 equal even sub-intervals. We obtain some new results involving intermediate values of vertical bar f'vertical bar in [a, b] by using some classical inequalities like Hermite-Hadamard, Holder and Power-Mean.
dc.identifier.endpage224
dc.identifier.issn2076-2585
dc.identifier.issn2219-1259
dc.identifier.issue2
dc.identifier.scopusqualityN/A
dc.identifier.startpage212
dc.identifier.urihttps://hdl.handle.net/20.500.12462/22107
dc.identifier.volume10
dc.identifier.wosWOS:000493787200006
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherInst Applied Mathematics
dc.relation.ispartofTwms Journal of Pure and Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250703
dc.subjectconvex functions
dc.subjectconcave functions
dc.subjectHermite-Hadamard inequality
dc.subjectPower-Mean inequality
dc.titleSOME NEW INTEGRAL INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES OF ABSOLUTE VALUES ARE CONVEX AND CONCAVE
dc.typeArticle

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