{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,4]],"date-time":"2026-06-04T02:14:43Z","timestamp":1780539283457,"version":"3.54.1"},"reference-count":52,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,4,5]],"date-time":"2023-04-05T00:00:00Z","timestamp":1680652800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Basque Government","award":["IT1555-22"],"award-info":[{"award-number":["IT1555-22"]}]},{"name":"Basque Government","award":["KK-2022\/00090"],"award-info":[{"award-number":["KK-2022\/00090"]}]},{"name":"Basque Government","award":["269.10.13039\/501100011033"],"award-info":[{"award-number":["269.10.13039\/501100011033"]}]},{"name":"Basque Government","award":["PID2021-1235430B-C21\/C22"],"award-info":[{"award-number":["PID2021-1235430B-C21\/C22"]}]},{"name":"MCIN\/AEI","award":["IT1555-22"],"award-info":[{"award-number":["IT1555-22"]}]},{"name":"MCIN\/AEI","award":["KK-2022\/00090"],"award-info":[{"award-number":["KK-2022\/00090"]}]},{"name":"MCIN\/AEI","award":["269.10.13039\/501100011033"],"award-info":[{"award-number":["269.10.13039\/501100011033"]}]},{"name":"MCIN\/AEI","award":["PID2021-1235430B-C21\/C22"],"award-info":[{"award-number":["PID2021-1235430B-C21\/C22"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>There is significant interaction between the class of symmetric functions and other types of functions. The multiplicative convex function class, which is intimately related to the idea of symmetry, is one of them. In this paper, we obtain some new generalized multiplicative fractional Hermite\u2013Hadamard type inequalities for multiplicative convex functions and for their product. Additionally, we derive a number of inequalities for multiplicative convex functions related to generalized multiplicative fractional integrals utilising a novel identity as an auxiliary result. We provide some examples for the appropriate selections of multiplicative convex functions and their graphical representations to verify the authenticity of our main results.<\/jats:p>","DOI":"10.3390\/sym15040868","type":"journal-article","created":{"date-parts":[[2023,4,6]],"date-time":"2023-04-06T02:29:58Z","timestamp":1680748198000},"page":"868","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":26,"title":["Some New Hermite\u2013Hadamard Type Inequalities Pertaining to Generalized Multiplicative Fractional Integrals"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0115-3079","authenticated-orcid":false,"given":"Artion","family":"Kashuri","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Technical and Natural Sciences, University \u201cIsmail Qemali\u201d, 9400 Vlora, Albania"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4524-1951","authenticated-orcid":false,"given":"Soubhagya Kumar","family":"Sahoo","sequence":"additional","affiliation":[{"name":"Department of Mathematics, C.V. Raman Global University, Bhubaneswar 752054, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5748-9738","authenticated-orcid":false,"given":"Munirah","family":"Aljuaid","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, Northern Border University, Arar 73213, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8372-2532","authenticated-orcid":false,"given":"Muhammad","family":"Tariq","sequence":"additional","affiliation":[{"name":"Department of Basic Sciences and Related Studies, Mehran UET, Jamshoro 76062, Pakistan"},{"name":"Department of Mathematics, Balochistan Residential College, Loralai 84800, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9320-9433","authenticated-orcid":false,"given":"Manuel","family":"De La Sen","sequence":"additional","affiliation":[{"name":"Department of Electricity and Electronics, Institute of Research and Development of Processes, Faculty of Science and Technology, University of Basque Country, 48940 Leioa, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,4,5]]},"reference":[{"key":"ref_1","first-page":"171","article-title":"\u00c9tude sur les propri\u00e9t\u00e9s des fonctions enti\u00e9res en particulier d\u2019une fonction consid\u00e9r\u00e9e par Riemann","volume":"58","author":"Hadamard","year":"1893","journal-title":"J. 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