Inversion of perturbed linear operators that are singular at the origin 17:00 – 17:25 Alex Rubinov Abstract Convexity and Hermite-Hadamard-type Inequalities Long memory and heavy tails in stochastic modeling with application to finance

In the paper, the authors establish some integral inequalities of Hermite-Hadamard type for co-ordinated (α1,m1)-(α2,m2)convex functions on a rectangle of the first quadrant in a plane.

In this paper, we obtain some new Hermite-Hadamard-type inequalities for convex functions on the co-ordinates. We conclude that the results obtained in this work are the refinements of the earlier results.

The objective of this paper is to establish some new refinements of fractional Hermite-Hadamard inequalities via a harmonically convex function with a kernel containing the generalized Mittag-Leffler function.

Some inequalities of Hermite-Hadamard type for increasing convexalong-rays functions are given. Examples for particular domains including triangles, squares, and the part of the unit disk in the first quadrant are also presented.

In this paper we present some inequalities of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex. Moreover, an application to special means of real numbers is also considered.

In this paper Hermite—Hadamard type inequalities for m-convex and (α,m)-convex functions for fuzzy integrals are given. Some examples are also given to illustrate the results.

In this study, a new identity involving conformable fractional integrals is given. Then, by using this identity, some new Hermite-Hadamard type inequalities for conformable fractional integrals have been developed.

In this paper, approximate lower and upper Hermite–Hadamard type inequalities are obtained for functions that are approximately convex with respect to a given Chebyshev system. Mathematics subject classification (2010): Primary 39B22, 39B12.