Majorization-Type Integral Inequalities Related to a Result of Bennett with Applications

László Horváth ()
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László Horváth: Department of Mathematics, University of Pannonia, Egyetem u. 10, 8200 Veszprém, Hungary

Mathematics, 2025, vol. 13, issue 10, 1-18

Abstract: In this paper, starting from abstract versions of a result of Bennett given by Niculescu, we derive new majorization-type integral inequalities for convex functions using finite signed measures. The proof of the main result is based on a generalization of a recently discovered majorization-type integral inequality. As applications of the results, we give simple proofs of the integral Jensen and Lah–Ribarič inequalities for finite signed measures, generalize and extend known results, and obtain an interesting new refinement of the Hermite–Hadamard–Fejér inequality.

Keywords: convex functions; signed measures; Steffensen–Popoviciu and dual Steffensen–Popoviciu measures; integral Jensen and Lah–Ribarič inequalities; Hermite–Hadamard–Fejér inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:10:p:1563-:d:1652591

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