{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T11:26:01Z","timestamp":1771673161369,"version":"3.50.1"},"reference-count":30,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2022,7,27]],"date-time":"2022-07-27T00:00:00Z","timestamp":1658880000000},"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>For left and right \u03bb-preinvex interval-valued functions (left and right \u03bb-preinvex IVFs) in interval-valued Riemann operator settings, we create Hermite\u2013Hadamard (H-H) type inequalities in the current study. Additionally, we create Hermite\u2013Hadamard\u2013Fej\u00e9r (H-H-Fej\u00e9r)-type inequalities for preinvex functions of the left and right interval-valued type under some mild conditions. Moreover, some exceptional new and classical cases are also obtained. Some useful examples are also presented to prove the validity of the results.<\/jats:p>","DOI":"10.3390\/axioms11080368","type":"journal-article","created":{"date-parts":[[2022,7,27]],"date-time":"2022-07-27T21:11:05Z","timestamp":1658956265000},"page":"368","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Interval Fej\u00e9r-Type Inequalities for Left and Right-\u03bb-Preinvex Functions in Interval-Valued Settings"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0170-5286","authenticated-orcid":false,"given":"Tareq","family":"Saeed","sequence":"first","affiliation":[{"name":"Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7450-8067","authenticated-orcid":false,"given":"Muhammad Bilal","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8209-3869","authenticated-orcid":false,"given":"Savin","family":"Trean\u021b\u01ce","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania"},{"name":"Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania"},{"name":"Fundamental Sciences Applied in Engineering-Research Center (SFAI), University Politehnica of Bucharest, 060042 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hamed H.","family":"Alsulami","sequence":"additional","affiliation":[{"name":"Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammed Sh.","family":"Alhodaly","sequence":"additional","affiliation":[{"name":"Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,7,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"6322","DOI":"10.3934\/math.2021371","article-title":"On Hermite-Hadamard type inequalities for n-polynomial convex stochastic processes","volume":"6","author":"Fu","year":"2021","journal-title":"AIMS Math."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"8978","DOI":"10.3934\/math.2021521","article-title":"Generalization of some fractional versions of Hadamard inequalities via exponentially (\u03b1, h \u2212 m)-convex functions","volume":"6","author":"Lv","year":"2021","journal-title":"AIMS Math."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Moore, R.E. (1979). 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