{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:53:05Z","timestamp":1760151185691,"version":"build-2065373602"},"reference-count":32,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,2,21]],"date-time":"2022-02-21T00:00:00Z","timestamp":1645401600000},"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>Mathematical inequalities have gained importance and popularity due to the application of integral operators of different types. The present paper aims to give Chebyshev-type inequalities for generalized k-integral operators involving the Mittag-Leffler function in kernels. Several new results can be deduced for different integral operators, along with Riemann\u2013Liouville fractional integrals by substituting convenient parameters. Moreover, the presented results generalize several already published inequalities.<\/jats:p>","DOI":"10.3390\/axioms11020082","type":"journal-article","created":{"date-parts":[[2022,2,21]],"date-time":"2022-02-21T20:24:21Z","timestamp":1645475061000},"page":"82","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Generalized k-Fractional Chebyshev-Type Inequalities via Mittag-Leffler Functions"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1183-8864","authenticated-orcid":false,"given":"Zhiqiang","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Computer Science, Chengdu University, Chengdu 610106, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ghulam","family":"Farid","sequence":"additional","affiliation":[{"name":"Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sajid","family":"Mehmood","sequence":"additional","affiliation":[{"name":"Govt Boys Primary School Sherani, Hazro Attock 43440, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4504-6200","authenticated-orcid":false,"given":"Chahn-Yong","family":"Jung","sequence":"additional","affiliation":[{"name":"Department of Business Administration, Gyeongsang National University, Jinju 52828, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8670-943X","authenticated-orcid":false,"given":"Tao","family":"Yan","sequence":"additional","affiliation":[{"name":"School of Computer Science, Chengdu University, Chengdu 610106, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,2,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"138","DOI":"10.20852\/ntmsci.2016217824","article-title":"On some integral inequalities for (k,h)-Riemann\u2013Liouville fractional integral","volume":"4","author":"Akkurt","year":"2016","journal-title":"NTMSCI"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Andri\u0107, M., Farid, G., and Pe\u010dari\u0107, J. 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