<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-30T01:53:34Z</responseDate><request verb="GetRecord" identifier="oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/14198" metadataPrefix="oai_dc">https://bayburt-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/14198</identifier><datestamp>2026-10-29T19:43:59Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_bayburt_10000</setSpec><setSpec>col_bayburt_10001</setSpec><setSpec>com_bayburt_10007</setSpec><setSpec>col_bayburt_10227</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>HG-CONVEX FUNCTIONS</dc:title><dc:creator>Gülsu, Nagihan kurt</dc:creator><dc:creator>Iscan, Imdat</dc:creator><dc:creator>Kadakal, Mahir</dc:creator><dc:creator>Bekar, Kerim</dc:creator><dc:subject>Convex function</dc:subject><dc:subject>Hg-convex</dc:subject><dc:subject>Hermite-Hadamard inequality</dc:subject><dc:description>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.</dc:description><dc:publisher>EDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE</dc:publisher><dc:date>2024</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/bayburt/14198</dc:identifier><dc:identifier>https://doi.org/10.46939/j.sci.arts-24.4-a08</dc:identifier><dc:identifier>1844-9581</dc:identifier><dc:language>en</dc:language><dc:relation>JOURNAL OF SCIENCE AND ARTS</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/14198</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>