Volume 21, Issue 2 (9-2026)
IJMSI 2026, 21(2): 155-175 |
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Rubab F, Khan A R. Mercer Type Variants of the Jensen−Steffensen Inequality-II. IJMSI 2026; 21 (2) :155-175
URL: http://ijmsi.ir/article-1-2347-en.html
URL: http://ijmsi.ir/article-1-2347-en.html
Abstract:
Jensen–Mercer’s inequality for weights satisfying conditions as for the reversed Jensen-Steffensen inequality is proved. Several inequalities involving more than one monotonic function with reversed JensenSteffensen conditions are proved. Furthermore, a couple of general companion inequalities related to Mercer’s inequality with reversed JensenSteffensen conditions are presented as well. Applications for the generalization of weighted Ky Fan’s inequality, classical Power Mean, and classical Arithmetic–Geometric–Harmonic Mean inequalities are given as well.
Type of Study: Research paper |
Subject:
General
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