New Inequalities for Strongly r-Convex Functions

Abstract EN

In this study, firstly we introduce a new concept called “strongly r-convex function.” After that we establish Hermite-Hadamard-like inequalities for this class of functions.

Moreover, by using an integral identity together with some well known integral inequalities, we establish several new inequalities for n-times differentiable strongly r-convex functions.

In special cases, the results obtained coincide with the well-known results in the literature.