Hilbert–Pachpatte-type inequalities for semigroups, cosine and sine operator functions

Dirichlet Forms for General Wentzell Boundary Conditions, Analytic Semigroups, and Cosine Operator Functions

The aim of this paper is to study uniformly elliptic operators with general Wentzell boundary conditions in suitable Lp-spaces by using the approach of sesquilinear forms. We use different tools to re-prove analiticity and related results concerning the semigroups generated by the above operators. In addition, we make some complementary observations on, among other things, compactness issues an...

Perturbation Theorems for Convoluted C-semigroups and Cosine Functions

The Hermite-Hadamard type inequalities for operator s-convex functions

In this paper, we introduce operator s-convex functions and establish some Hermite-Hadamard type inequalities in which some operator s-convex functions of positive operators in Hilbert spaces are involved.

Hermite-Hadamard's type inequalities for operator convex functions

Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, we give a simple proof and a new generalization of the Hermite-Hadamard inequality for operator convex functions.

Hermite-Hadamard Type Inequalities for MφA-Convex Functions

This article deals with the different classes of convexity and generalizations. Firstly, we reveal the new generalization of the definition of convexity that can reduce many order of convexity. We have showed features of algebra for this new convex function. Then after we have constituted Hermite-Hadamard type inequalities for this class of functions. Finally the identity has been revealed for ...