517 research outputs found
Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte Type Inequalities for Convex Functions via Fractional Integrals
The aim of this paper is to establish Hermite-Hadamard,
Hermite-Hadamard-Fej\'er, Dragomir-Agarwal and Pachpatte type inequalities for
new fractional integral operators with exponential kernel. These results allow
us to obtain a new class of functional inequalities which generalizes known
inequalities involving convex functions. Furthermore, the obtained results may
act as a useful source of inspiration for future research in convex analysis
and related optimization fields.Comment: 14 pages, to appear in Journal of Computational and Applied
Mathematic
On Hadamard Type Integral Inequalities for nonconvex Functions
In this paper, we extend some estimates of the right and left hand side of a
Hermite-Hadamard type inequality for nonconvex functions whose derivatives
absolute values are \Phi-convex and quasi-\Phi-convex was introduced by Noor in
Noor1.Comment: Mathematical Sciences And Applications E-Notes, in press. arXiv admin
note: substantial text overlap with arXiv:1204.0923; and overlap with
arXiv:1205.6657 by other author
Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions
In this paper, obtained some new class of Hermite-Hadamard and
Hermite-Hadamard-Fejer type inequalities via fractional integrals for the
p-hyperbolic convex functions. It is shown that such inequalities are simple
consequences of Hermite-Hadamard-Fejer inequality for the p-hyperbolic convex
function.Comment: 11 page
- …