Giaccardi inequality for generalized convex functions and related results.

In this article, the famous Giaccardi inequality is generalized for modified (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. [ABSTRACT FROM AUTHOR]