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Hermite-Hadamard Inequality on Time Scales [PDF]

Journal of Inequalities and Applications, 2008
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Dinu Cristian
core   +7 more sources

Convex functions and the Hadamard inequality [PDF]

, 1994
Summary: The Hadamard inequality is proven without resorting to any properties of the derivative. Only the convexity of the function in a closed interval is needed. Furthermore, if the existence of the integral is assumed, then the convexity requirement is weakened to convexity in the sense of Jensen.
Azpeitia, Alfonso G.
openaire   +3 more sources

A new generalization of some quantum integral inequalities for quantum differentiable convex functions

Advances in Difference Equations, 2021
In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the
Yi-Xia Li, Muhammad Aamir Ali, Hüseyin Budak, Mujahid Abbas, Yu-Ming Chu   +4 more
doaj   +1 more source

Hermite–Hadamard-Type Inequalities and Two-Point Quadrature Formula

Mathematics, 2022
As convexity plays an important role in many aspects of mathematical programming, e.g., for obtaining sufficient optimality conditions and in duality theorems, and one of the most important inequalities for convex functions is the Hermite–Hadamard ...
Josipa Barić
doaj   +1 more source

Some Properties and Inequalities for the h,s-Nonconvex Functions

Journal of Mathematics, 2020
The purpose of this paper is to introduce the notion of strongly h,s-nonconvex functions and to present some basic properties of this class of functions. We present Schur inequality, Jensen inequality, Hermite–Hadamard inequality, and weighted version of
Chengli Wang, Muhammad Shoaib Saleem, Hamood Ur Rehman, Muhammad Imran   +3 more
doaj   +1 more source

New discrete inequalities of Hermite–Hadamard type for convex functions

Advances in Difference Equations, 2021
We introduce new time scales on Z $\mathbb{Z}$ . Based on this, we investigate the discrete inequality of Hermite–Hadamard type for discrete convex functions.
Pshtiwan Othman Mohammed, Thabet Abdeljawad, Manar A. Alqudah, Fahd Jarad   +3 more
doaj   +1 more source

Weighted Hermite-Hadamard inequalities for r-times differentiable preinvex functions for k-fractional integrals

Demonstratio Mathematica, 2023
In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
doaj   +1 more source

ON REFINEMENTS OF HADAMARD'S INEQUALITIES

Tamkang Journal of Mathematics, 1997
Some refinements of Hadamard's inequalities are established.
Yang, Gou-Sheng, Wang, Chung-Shin
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A NOTE ON HADAMARD'S INEQUALITY

Tamkang Journal of Mathematics, 1997
In the present note we establish a new convex function related to the well known Hadamard's inequality by using a fairly elementary analysis.
Yang, Gou-Sheng, Hong, Min-Chung
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Hadamard’s Determinant Inequality [PDF]

The American Mathematical Monthly, 2014
This note is devoted to a short, but elementary, proof of Hadamard's determinant inequality.
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