Results 1 to 10 of about 1,943 (219)

Hermite–Hadamard inequality for fuzzy integrals

Applied Mathematics and Computation, 2009
In this paper we prove a Hermite–Hadamard type inequality for fuzzy integrals.
J Caballero, Kishin Sadarangani
exaly   +5 more sources

On Upper Estimations of Hermite–Hadamard Inequalities

Mathematics
Convex functions play a key role in many branches of pure and applied mathematics. In this paper, we prove that if a convex function is not continuous, then the classical Hermite–Hadamard inequality, the Hermite–Hadamard inequality for the Riemann ...
Yasin Kaya
doaj   +3 more sources

Uniform Treatment of Integral Majorization Inequalities with Applications to Hermite-Hadamard-Fejér-Type Inequalities and f-Divergences [PDF]

Entropy, 2023
In this paper, we present a general framework that provides a comprehensive and uniform treatment of integral majorization inequalities for convex functions and finite signed measures.
László Horváth
doaj   +2 more sources

Hermite–Hadamard type inequalities for fractional integrals via Green’s function [PDF]

Journal of Inequalities and Applications, 2018
In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite–Hadamard type inequalities by using Green’s function and Jensen’s inequality, and present several new Hermite–Hadamard type ...
Muhammad Adil Khan, Arshad Iqbal, Muhammad Suleman, Yu-Ming Chu   +3 more
doaj   +2 more sources

On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals [PDF]

Heliyon
The main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha, Tasawar Abbas, Zhixiong Li, Amor Rebey, Affaq Ahmed, Sanaa Anjum   +5 more
doaj   +2 more sources

Integral inequalities for some convex functions via generalized fractional integrals [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generalization of Riemann–Liouville fractional ...
Naila Mehreen, Matloob Anwar
doaj   +2 more sources

Hermite-Hadamard Inequality on Time Scales [PDF]

Journal of Inequalities and Applications, 2008
We discuss some variants of the Hermite-Hadamard inequality for convex functions on time scales.
Cristian Dinu
core   +7 more sources

Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals [PDF]

Journal of Inequalities and Applications, 2017
Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named ( k , s ) $(k,s)$ -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established.
Praveen Agarwal, Mohamed Jleli, Muharrem Tomar   +2 more
doaj   +2 more sources

Refinements on the discrete Hermite–Hadamard inequality [PDF]

Arabian Journal of Mathematics, 2017
WOS:000437470500002In this paper, we use techniques and tools from time scale calculus to state and prove many refinements on the discrete Hermite-Hadamard ...
Ferhan M. Atıcı, Yaldız, Hatice, Atıcı, Ferhan M., Hatice Yaldız   +3 more
core   +2 more sources

Improvements of the Hermite-Hadamard inequality for the simplex. [PDF]

J Inequal Appl, 2017
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.
Pavić Z.
europepmc   +6 more sources