Results 41 to 50 of about 5,323 (169)

Generalization and refinements of the Jensen-Mercer inequality with applications [PDF]

Journal of Mathematical Inequalities, 2021
Summary: We give a generalization followed by refinements of Jensen-Mercer inequality in variety of ways. We also highlight its importance by stating plenty of applications. In this way our main results generalize many established results including Ky Fan's Inequality, Popoviciu's inequalities and Rado's inequalities etc.
Khan, Asif R., Khan, Inam Ullah, Ramji, Shahid Sultan Ali   +2 more
openaire   +2 more sources

UEG Week 2025 Moderated Posters [PDF]

United European Gastroenterol J
United European Gastroenterology Journal, Volume 13, Issue S8, Page S189-S802, October 2025.
europepmc   +2 more sources

Unified inequalities of the q-Trapezium-Jensen-Mercer type that incorporate majorization theory with applications

AIMS Mathematics, 2023
The objective of this paper is to explore novel unified continuous and discrete versions of the Trapezium-Jensen-Mercer (TJM) inequality, incorporating the concept of convex mapping within the framework of $ {\mathfrak{q}} $-calculus, and utilizing ...
Bandar Bin-Mohsin, Muhammad Zakria Javed, Muhammad Uzair Awan, Hüseyin Budak, Awais Gul Khan, Clemente Cesarano, Muhammad Aslam Noor   +6 more
doaj   +1 more source

The Hermite–Hadamard–Jensen–Mercer Type Inequalities for Riemann–Liouville Fractional Integral [PDF]

Journal of Mathematics, 2021
In this paper, we give Hermite–Hadamard type inequalities of the Jensen–Mercer type for Riemann–Liouville fractional integrals. We prove integral identities, and with the help of these identities and some other eminent inequalities, such as Jensen, Hölder, and power mean inequalities, we obtain bounds for the difference of the newly obtained ...
Hua Wang, Jamroz Khan, Muhammad Adil Khan, Sadia Khalid, Rewayat Khan   +4 more
openaire   +3 more sources

Advances in Ostrowski-Mercer Like Inequalities within Fractal Space

Fractal and Fractional, 2023
The main idea of the current investigation is to explore some new aspects of Ostrowski’s type integral inequalities implementing the generalized Jensen–Mercer inequality established for generalized s-convexity in fractal space.
Miguel Vivas-Cortez, Muhammad Uzair Awan, Usama Asif, Muhammad Zakria Javed, Hüseyin Budak   +4 more
doaj   +1 more source

Improved Hermite–Hadamard Inequality Bounds for Riemann–Liouville Fractional Integrals via Jensen’s Inequality

Fractal and Fractional
This paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali, Wei Liu, Shigeru Furuichi, Michal Fečkan   +3 more
doaj   +1 more source

Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings

Mathematics, 2021
In this paper, we prove Hermite–Hadamard–Mercer inequalities, which is a new version of the Hermite–Hadamard inequalities for harmonically convex functions.
Xuexiao You, Muhammad Aamir Ali, Hüseyin Budak, Jiraporn Reunsumrit, Thanin Sitthiwirattham   +4 more
doaj   +1 more source

A counterpart to Jensen-Mercer inequality

Advances in Inequalities and Applications, 2020
The main goal of this paper is to point out some refinements of the reverse of the Jensen-Mercer inequality.
openaire   +3 more sources

fixed point, ψ-contraction, r-hybrid ψ-contraction, dynamic programming, integral equation

AIMS Mathematics, 2021
In this work, we establish inequalities of Hermite-Hadamard-Mercer (HHM) type for convex functions by using generalized fractional integrals. The results of our paper are the extensions and refinements of Hermite-Hadamard (HH) and Hermite-Hadamard-Mercer
Miguel Vivas-Cortez, Muhammad Aamir Ali, Artion Kashuri, Hüseyin Budak   +3 more
doaj   +1 more source

Integral Jensen–Mercer and Related Inequalities for Signed Measures with Refinements

Mathematics
In this paper, we give necessary and sufficient conditions for the integral Jensen–Mercer inequality and closely related inequalities to be satisfied for finite signed measures.
László Horváth
doaj   +1 more source