{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:24:36Z","timestamp":1760149476802,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2023,8,17]],"date-time":"2023-08-17T00:00:00Z","timestamp":1692230400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This article aims to obtain inequalities containing the unified Mittag\u2013Leffler function which give bounds of integral operators for a generalized convexity. These findings provide generalizations and refinements of many inequalities. By setting values of monotone functions, it is possible to reproduce results for classical convexities. The Hadamard-type inequalities for several classes related to convex functions are identified in remarks, and some of them are also presented in last section.<\/jats:p>","DOI":"10.3390\/axioms12080795","type":"journal-article","created":{"date-parts":[[2023,8,17]],"date-time":"2023-08-17T10:47:02Z","timestamp":1692269222000},"page":"795","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Generalized Convexity and Inequalities Involving the Unified Mittag\u2013Leffler Function"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4103-7745","authenticated-orcid":false,"given":"Ghulam","family":"Farid","sequence":"first","affiliation":[{"name":"Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hafsa","family":"Tariq","sequence":"additional","affiliation":[{"name":"Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ferdous M. O.","family":"Tawfiq","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, King Saud University, P.O. 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