Improvements of the Hermite-Hadamard inequality on time scales
نویسندگان
چکیده
منابع مشابه
Improvements of the Hermite–hadamard Inequality on Time Scales
In this paper we give refinements of converse Jensen’s inequality as well as of the Hermite-Hadamard inequality on time scales. We give mean value theorems and investigate logarithmic and exponential convexity of the linear functionals related to the obtained refinements. We also give several examples which illustrate possible applications for our results. Mathematics subject classification (20...
متن کاملHermite-Hadamard Inequality on Time Scales
Recently, new developments of the theory and applications of dynamic derivatives on time scales were made. The study provides an unification and an extension of traditional differential and difference equations and, in the same time, it is a unification of the discrete theory with the continuous theory, from the scientific point of view. Moreover, it is a crucial tool in many computational and ...
متن کاملA Weighted Hermite Hadamard Inequality for Steffensen–Popoviciu and Hermite–Hadamard Weights on Time Scales
In this paper, we present a weighted version of the Hermite–Hadamard inequality for convex functions on time scales, with weights that are allowed to take some negative values, these are the Steffensen–Popoviciu and the Hermite–Hadamard weights. We also present some applications of this inequality.
متن کاملImprovements of the Hermite-Hadamard inequality for the simplex
In this study, the simplex whose vertices are barycenters of the given simplex facets plays an essential role. The article provides an extension of the Hermite-Hadamard inequality from the simplex barycenter to any point of the inscribed simplex except its vertices. A two-sided refinement of the generalized inequality is obtained in completion of this work.
متن کاملHermite-Hadamard's Inequality on Time Scales
We establish several Hermite-Hadamard’s inequalities on time scales. One of these results says as follows: Suppose that (1) f a b R : [ , ]® is convex; (2) p q p q , (0,1), = 1 ∈ + ; g C a b R rd ∈ + ([ , ], ) is symmetric with respect to x pa qb = + = : x on [ , ] a b , i.e., g qt g pt t b a ( ) = ( ), [0, ], x x − + ∀ ∈ − then:
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2015
ISSN: 1846-579X
DOI: 10.7153/jmi-09-75