Results 91 to 100 of about 30,526 (192)

A version of Hermite-Hadamard-Mercer inequality and associated results

Ain Shams Engineering Journal
Over the past decade, the Hermite-Hadamard inequality has attracted significant attention from mathematicians, leading to the development of various extensions and generalizations involving different fractional operators, stochastic processes ...
Zhenglin Zhang, Muhammad Adil Khan, Jamroz Khan, Shah Faisal, Xuewu Zuo, Mohammed Kbiri Alaoui   +5 more
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Generalizations of Jensen-Mercer's inequality

Journal of pure and applied mathematics : advances and applications, 2014
The article deals with the generalizations of Jensen-Mercer's inequality using affine combinations which can be represented as convex combinations. The generalized Jensen-Mercer's inequality is also obtained for the convex function of several variables applying affine combinations of the simplex.
openaire   +2 more sources

Fractional Integral Estimates of Boole Type: Majorization and Convex Function Approach with Applications

Fractal and Fractional
The goal of this paper is to use a Boole-type inequality framework to provide better estimates for differentiable functions. Using majorization theory, fractional integral operators are incorporated into a new auxiliary identity.
Saad Ihsan Butt, Mohammed Alammar, Youngsoo Seol   +2 more
doaj   +1 more source

New estimates on generalized Hermite–Hadamard–Mercer-type inequalities

Boundary Value Problems
The concept of a convex function plays a crucial role in fields of mathematical analysis and inequality theory. The importance of convex functions is exemplified by Mercer’s inequality.
Çetin Yıldız, Samet Erden, Seth Kermausuor, Daniel Breaz, Luminiţa-Ioana Cotîrlă   +4 more
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New Results on Majorized Discrete Jensen–Mercer Inequality for Raina Fractional Operators

Fractal and Fractional
As the most important inequality, the Hermite–Hadamard–Mercer inequality has attracted the interest of numerous additional mathematicians. Numerous findings on this inequality have been developed in recent years.
Çetin Yildiz, Tevfik İşleyen, Luminiţa-Ioana Cotîrlă   +2 more
doaj   +1 more source

Further Jensen--Mercer's type inequalities for convex functions

Journal of Mathematical Inequalities
Summary: This article considers the class of convex functions and derives further Jensen-Mercer'stype inequalities. The obtained results improve and generalize some known inequalities. A reverse of Jesnen-Mercer's inequality for scalars and operators is also given.
Mohebbi, Faezeh Parvin, Hassani, Mahmoud, Omidvar, Mohsen Erfanian, Moradi, Hamid Reza, Furuichi, Shigeru   +4 more
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Mercer's inequality for h-convex functions

, 2017
3 ...
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Hermite–Hadamard–Mercer Inequalities Associated with Twice-Differentiable Functions with Applications

Axioms
In this work, we initially derive an integral identity that incorporates a twice-differentiable function. After establishing the recently created identity, we proceed to demonstrate some new Hermite–Hadamard–Mercer-type inequalities for twice ...
Muhammad Aamir Ali, Thanin Sitthiwirattham, Elisabeth Köbis, Asma Hanif   +3 more
doaj   +1 more source

The European Union and its new neighbors: an estimation of migration potentials [PDF]

This paper provides a first quantitative assessment of the migration potential involving the enlarged EU and its new neighbors. Based on new theoretical developments in migration theories, it develops an empirical model which highlights the main ...
Nicolas Péridy
core  

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