Results 71 to 80 of about 147 (123)

Hermite-Hadamard-Fejér type inequalities for convex functions via fractional integrals [PDF]

, 2015
In this paper, firstly we have established Hermite-Hadamard-Fejér inequality for fractional integrals. Secondly, an integral identity and some Hermite-Hadamard-Fejér type integral inequalities for the fractional integrals have been obtained.
İȘCAN, İmdat
core  

A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
We provide in this note a different refinement of Jensen’s inequality obtained via superquadratic functions. A refinement of Minkowski’s and Hölder’s inequalities is also established as an application of our refined Jensen’s inequality.
Anton Asare-Tuah, Edward Prempeh, Narendra K. Govil   +2 more
wiley   +1 more source

Generalization of Hermite-Hadamard Type Inequality for Functions whose Derivatives in Absolute Value are Convex and (α, m)-Convex

, 2014
In this article, some new Hadamard-like, which estimate the difference between Mathematics Subject Classification: 26A51 ...
Jaekeun Park
core  

Simpson-like and Hermite-Hadamard-like Type Inequalities for Harmonically Quasi-convex Functions [PDF]

, 2014
In this paper, by using a generalized integral identity for differentiable functions, the author obtain some new upper bounds of HermiteHadamard type inequalities and new Simpson-like type inequalities, for differentiable harmonically quasi-convex ...
Jaekeun Park
core  

New developments of fractional integral inequalities and their applications [PDF]

In this paper, we propose the so-called higher order strongly m-polynomial exponentially type convex functions. Some of its algebraic properties are given and a new fractional integral identity is established.
NAÇO, Adrian, LIKO, Rozana, KASHURI, Artion   +2 more
core   +1 more source

Derivation of Hermite-Hadamard-Jensen-Mercer conticrete inequalities for Atangana-Baleanu fractional integrals by means of majorization

Demonstratio Mathematica
This article is mainly concerned to link the Hermite-Hadamard and the Jensen-Mercer inequalities by using majorization theory and fractional calculus. We derive the Hermite-Hadamard-Jensen-Mercer-type inequalities in conticrete form, which serve as both ...
Wu Shanhe, Khan Muhammad Adil, Faisal Shah, Saeed Tareq, Nwaeze Eze R.   +4 more
doaj   +1 more source

New fractional estimates of Hermite-Hadamard inequalities and applications to means [PDF]

, 2016
The main objective of this paper is to obtain some new fractional estimates of Hermite-Hadamard type inequalities via h-convex functions. A new fractional integral identity for three times differentiable function is established.
AWAN, Muhammad Uzair, NOOR, Khalida Inayat, NOOR, Muhammad Aslam   +2 more
core  

Some new Hermite-Hadamard-type inequalities for strongly h-convex functions on co-ordinates

Open Mathematics
In this article, we study some Hermite-Hadamard-type inequalities for strongly hh-convex functions on co-ordinates in Rn{{\mathbb{R}}}^{n}, which extend some known results. Some mappings connected with these inequalities and related applications are also
Hong Weizhi, Xu Yanran, Ruan Jianmiao, Ma Xinsheng   +3 more
doaj   +1 more source

On a generalization of the Opial inequality

Demonstratio Mathematica
Inequalities are essential in pure and applied mathematics. In particular, Opial’s inequality and its generalizations have been playing an important role in the study of the existence and uniqueness of initial and boundary value problems.
Bosch Paul, Portilla Ana, Rodriguez Jose M., Sigarreta Jose M.   +3 more
doaj   +1 more source

Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law

Open Mathematics, 2018
In this paper, we consider the definition of “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law associated with the real utility distribution to give the results for majorizatioQn inequalities by using monotonic sequences.
Latif Naveed, Pečarić Đilda, Pečarić Josip   +2 more
doaj   +1 more source