<?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>2026-10-29T23:51:47Z</responseDate><request verb="GetRecord" identifier="oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/13087" metadataPrefix="oai_dc">https://bayburt-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/13087</identifier><datestamp>2026-10-29T19:43:02Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_bayburt_10000</setSpec><setSpec>col_bayburt_10001</setSpec><setSpec>com_bayburt_10010</setSpec><setSpec>col_bayburt_10219</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 novel fractional Milne-type inequalities for twice differentiable s−convex functions in the second sense</dc:title><dc:creator>Aslan, Sinan</dc:creator><dc:creator>Demir, Ümit</dc:creator><dc:creator>Karaduman, Ebru</dc:creator><dc:creator>Akdemir, Ahmet Ocak</dc:creator><dc:subject>Hölder inequality</dc:subject><dc:subject>Milne type inequalities</dc:subject><dc:subject>s−convex functions</dc:subject><dc:subject>Young inequality</dc:subject><dc:description>In this paper, a special identity for twice differentiable functions, which is available in the literature, is utilized. By combining this identity with Riemann-Liouville fractional integrals, various fractional Milne-type inequalities are obtained for functions whose second derivatives in absolute value are s−convex in the second sense. Moreover, Hölder and Young inequalities are used to prove the different and original results. These approaches contribute to the analysis of s−convex functions and offer new perspectives in the field of fractional analysis.</dc:description><dc:publisher>University of Nis</dc:publisher><dc:date>2025</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/bayburt/13087</dc:identifier><dc:identifier>https://doi.org/10.2298/fil2510425a</dc:identifier><dc:identifier>0354-5180</dc:identifier><dc:language>en</dc:language><dc:relation>Filomat</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/13087</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>