Integral Inequalities Involving Strongly Convex Functions

الملخص EN

We study the notions of strongly convex function as well as F-strongly convex function.

We present here some new integral inequalities of Jensen’s type for these classes of functions.

A refinement of companion inequality to Jensen’s inequality established by Matić and Pečarić is shown to be recaptured as a particular instance.

Counterpart of the integral Jensen inequality for strongly convex functions is also presented.

Furthermore, we present integral Jensen-Steffensen and Slater’s inequality for strongly convex functions.