{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T04:30:45Z","timestamp":1772253045367,"version":"3.50.1"},"reference-count":24,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2019,12,11]],"date-time":"2019-12-11T00:00:00Z","timestamp":1576022400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this study, we define new classes of convexity called h-Godunova\u2013Levin and h-Godunova\u2013Levin preinvexity, through which some new inequalities of Hermite\u2013Hadamard type are established. These new classes are the generalization of several known convexities including the s-convex, P-function, and Godunova\u2013Levin. Further, the properties of the h-Godunova\u2013Levin function are also discussed. Meanwhile, the applications of h-Godunova\u2013Levin Preinvex function are given.<\/jats:p>","DOI":"10.3390\/sym11121500","type":"journal-article","created":{"date-parts":[[2019,12,12]],"date-time":"2019-12-12T03:20:16Z","timestamp":1576120816000},"page":"1500","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Some Integral Inequalities for h-Godunova-Levin Preinvexity"],"prefix":"10.3390","volume":"11","author":[{"given":"Ohud","family":"Almutairi","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1217-963X","authenticated-orcid":false,"given":"Adem","family":"K\u0131l\u0131\u00e7man","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Universiti Putra Malaysia, Serdang 43400, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/0022-247X(92)90233-4","article-title":"Two mappings in connection to Hadamard\u2019s inequalities","volume":"167","author":"Dragomir","year":"1992","journal-title":"J. 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