Journal of Inequalities and Applications (Oct 2023)
Giaccardi inequality for generalized convex functions and related results
Abstract
Abstract In this article, the famous Giaccardi inequality is generalized for modified ( h , m ) $(h,m)$ -convex functions under the condition that h is a multiplicative positive function. The results are also discussed for different values of h and m. Also, Lagrange and Cauchy type mean value theorems for the functional due to Giaccardi’s inequality are obtained.
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