We first give an Oppenheim type determinantal inequality for the Khatri-Rao product of two block positive semidefinite matrices, and then we extend our result to multiple matrices. As products, extensions inequalities Hadamard are also included.

In this paper we construct and study isoperimetric functions at infinity for Hadamard manifolds. These quasi-isometry invariants give a measure of the spread of geodesics in such a manifold.

In this paper, using the definition of functions (h,m,s)-convex modified second type, various extensions classic Hermite-Hadamard Inequality are obtained Katugampola integrals. addition, we show that several results known particular cases ours.

Abstract In this paper, we establish Jensen’s inequality for s -convex functions in the first sense. By using inequalities, obtain some Cauchy type means p and Also, by Hermite–Hadamard inequalities respective generalized convex functions, find new means.

In this paper, the Hermite-Hadamard inequality for $p-$convex function is provided. Some integral inequalities them are also presented. Also, based on and double of sets, new functions defined under certain conditions, $p-$convexity these shown. expressed.