Some new integral inequalities for N-times differentiable R-convex and R-concave functions

WOS: 000504461100027In this work, by using an integral identity together with both the Holder and the Power-Mean integral inequality we establish several new inequalities for n-time differentiable r-convex and concave functions

Hermite-Hadamard type inequalities for quasi-convex functions via improved power-mean inequality

In this paper, by using power-mean and improved power-mean integral inequality and an general identity for differentiable functions we can get new estimates on integral inequalities for functions whose derivatives in absolute value at certain power are quasi-convex functions. It is proved that the result obtained improved power-mean integral inequality is better than the result obtained power-mean inequality. Some applications to special means of real numbers are also given.Publisher's Versio

Some New Integral Inequalities for -Times Differentiable -Convex and -Concave Functions in the Second Sense

Abstract In this article, by using an integral identity together with both the Hölder, Power-Mean integral inequalities and Hermite-Hadamard's inequality, we establish several new inequalities for n-time differentiable -convex and -concave functions in the second sense

NEW INEQUALITIES ON LIPSCHITZ FUNCTIONS

In this study, some inequalities of Hermite Hadamard type obtained for p-convex functions are given for Lipschitz mappings. Also, some applications for special means have been given

Uniqueness for Inverse Sturm-Liouville Problems with a Finite Number of Transmission Conditions

We establish various uniqueness results for inverse spectral problems of Sturm-Liouville operators with a finite number of discontinuities at interior points at which we impose the usual transmission conditions. We consider both the case of classical Robin and of eigenparameter dependent boundary conditions.Comment: 15 pages; Addendum adde