Results 1 to 10 of about 651,375 (180)

On quantum Hermite-Jensen-Mercer inequalities [PDF]

Miskolc Mathematical Notes, 2023
. A. M. Mercer prove a new version of well-known Jensen inequality which is called Jensen-Mercer inequality [16]. By using Jensen-Mercer inequality, Kian and Moslehian establish a new variant of Hermite-Hadamard inequality which is called Hermite-Jensen ...
H. Budak, H. Kara
semanticscholar   +2 more sources

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   +2 more sources

The Jensen-Mercer Inequality with Infinite Convex Combinations

Mathematical sciences and applications e-notes, 2019
The paper deals with discrete forms of double inequalities related to convex functions of one variable. Infinite convex combinations and sequences of convex combinations are included.
Zlatko Pavić
semanticscholar   +1 more source

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

A counterpart to Jensen-Mercer inequality

, 2020
The main goal of this paper is to point out some refinements of the reverse of the Jensen-Mercer inequality.
A. Matković
semanticscholar   +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

Refinements of the operator Jensen-Mercer inequality

, 2013
A Hermite-Hadamard-Mercer type inequality is presented and then generalized to Hilbert space operators. It is shown that f M + m Pn=1 xiAi f(M)+f(m) Pn=1 f(xi)Ai, where f is a convex function on an interval (m,M) containing 0, xi 2 (m,M), i = 1,...,n,
M. Kian, M. Moslehian
semanticscholar   +1 more source

New Majorized Fractional Simpson Estimates

Axioms, 2023
Fractional calculus has been a concept used to acquire new variants of some well-known integral inequalities. In this study, our primary goal is to develop majorized fractional Simpson’s type estimates by employing a differentiable function.
Xiaoye Ding, Xuewu Zuo, Saad Ihsan Butt, Rafia Farooq, Sanja Tipurić-Spužević   +4 more
doaj   +1 more source

Generalized Niezgoda's Inequality with Refinements and Applications [PDF]

Sahand Communications in Mathematical Analysis
Motivated by the results of Niezgoda, corresponding to the generalization of Mercer's inequality for positive weights, in this paper, we consider real weights, for which we establish related results.
Faiza Rubab, Asif Khan, Anum Naqvi, Ani Haider   +3 more
doaj   +1 more source

On boundary domination in the Jensen-Mercer inequality

, 2015
The main purpose of this, mainly expository, paper is to give various arguments that the boundary domination is a crucial property for the Jensen-Mercer inequality.
I. Peric
semanticscholar   +1 more source