<?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>2026-10-29T22:39:55Z</responseDate><request verb="GetRecord" identifier="oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/12856" metadataPrefix="oai_dc">https://bayburt-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/12856</identifier><datestamp>2026-10-29T19:42:47Z</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>SOME NEW INEQUALITIES FOR DIFFERENTIABLE ARITHMETIC-HARMONICALLY CONVEX FUNCTIONS</dc:title><dc:creator>Kadakal, Mahir</dc:creator><dc:creator>Agarwal, Praveen</dc:creator><dc:creator>İŞcan, İMdat</dc:creator><dc:subject>26A51</dc:subject><dc:subject>26D15</dc:subject><dc:subject>arithmetic-harmonically convex function Hermite-Hadamard’s inequality</dc:subject><dc:subject>Convex function</dc:subject><dc:description>In this study, by using an integral identity together with both the Hölder and the power-mean inequalities for integrals we establish several new inequalities for differentiable arithmetic-harmonically-convex function. Also, we give some applications for special means.</dc:description><dc:publisher>University of Kragujevac, Faculty of Science</dc:publisher><dc:date>2025</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/bayburt/12856</dc:identifier><dc:identifier>https://doi.org/10.46793/kgjmat2505.669k</dc:identifier><dc:identifier>1450-9628</dc:identifier><dc:language>en</dc:language><dc:relation>Kragujevac Journal of Mathematics</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/12856</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>