Volume 21, Issue 2 (9-2026)
IJMSI 2026, 21(2): 155-175 |
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RAZA KHAN A, RUBAB F. 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 Jensen-Steffensen conditions are proved. Furthermore, a couple of general companion inequalities related to Mercer's inequality with reversed Jensen-Steffensen 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:
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