{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T20:11:06Z","timestamp":1770063066264,"version":"3.49.0"},"reference-count":26,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2022,9,20]],"date-time":"2022-09-20T00:00:00Z","timestamp":1663632000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Princess Nourah bint Abdulrahman University Researchers Supporting Project","award":["PNURSP2022R45"],"award-info":[{"award-number":["PNURSP2022R45"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, some fractional Leindler and Hardy-type inequalities and their reversed will be proved by using integration by parts and H\u00f6lder inequality on conformable fractional calculus. As a special case, some classical integral inequalities will be obtained. Symmetrical properties play an essential role in determining the correct methods to solve inequalities. The new fractional inequalities in special cases yield some recent relevance, which also provide new estimates on inequalities of these type.<\/jats:p>","DOI":"10.3390\/sym14101958","type":"journal-article","created":{"date-parts":[[2022,9,21]],"date-time":"2022-09-21T00:08:09Z","timestamp":1663718889000},"page":"1958","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Fractional Leindler\u2019s Inequalities via Conformable Calculus"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2222-7973","authenticated-orcid":false,"given":"Ghada","family":"AlNemer","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. 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Box 9004, Abha 61413, Saudi Arabia"},{"name":"Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt"}]}],"member":"1968","published-online":{"date-parts":[[2022,9,20]]},"reference":[{"key":"ref_1","first-page":"279","article-title":"Generalization of inequalities of Hardy and Littlewood","volume":"31","author":"Leindler","year":"1970","journal-title":"Acta Sci. Math."},{"key":"ref_2","first-page":"285","article-title":"Further sharpining of inequalities of Hardy and Littlewood","volume":"54","author":"Leindler","year":"1990","journal-title":"Acta Sci. Math."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1112\/jlms\/s1-3.1.49","article-title":"Note on series of positive terms","volume":"3","author":"Copson","year":"1928","journal-title":"J. Lond. Math. Soc."},{"key":"ref_4","unstructured":"Hardy, G.H., Littlewood, J.E., and Polya, G. (1952). Inequalities, Cambridge University Press. 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