Results 1 to 10 of about 185 (156)

Generalized Fractal Jensen–Mercer and Hermite–Mercer type inequalities via h-convex functions involving Mittag–Leffler kernel

AEJ - Alexandria Engineering Journal, 2022
In this paper, we present generalized Jensen-Mercer inequality for a generalized h-convex function on fractal sets. We proved Hermite-Hadamard-Mercer local fractional integral inequalities via integral operators pertaining Mittag-Leffler kernel. Also, we
Saad Ihsan Butt, Saba Yousaf, Adnan Aslam   +2 more
exaly   +13 more sources

Generalizations of the Jensen–Mercer Inequality via Fink’s Identity [PDF]

Mathematics, 2021
We generalize an integral Jensen–Mercer inequality to the class of n-convex functions using Fink’s identity and Green’s functions. We study the monotonicity of some linear functionals constructed from the obtained inequalities using the definition of n ...
A Matkovic
exaly   +5 more sources

Jensen–Mercer inequality for GA-convex functions and some related inequalities [PDF]

Journal of Inequalities and Applications, 2020
In this paper, firstly, we prove a Jensen–Mercer inequality for GA-convex functions. After that, we establish weighted Hermite–Hadamard’s inequalities for GA-convex functions using the new Jensen–Mercer inequality, and we establish some new inequalities ...
İmdat İşcan
doaj   +3 more sources

On the Operator Jensen-Mercer Inequality [PDF]

Operator Theory: Advances and Applications, 2021
Mercer inequality for convex functions is a variant of Jensen's inequality, with an operator version that is still valid without operator convexity. This paper is two folded. First, we present a Mercer-type inequality for operators without assuming convexity nor operator convexity. Yet, this form refines the known inequalities in the literature. Second,
Moradi, H. R., Furuichi, S., Sababheh, M.   +2 more
exaly   +3 more sources

On a Jensen-Mercer operator inequality [PDF]

Banach Journal of Mathematical Analysis, 2011
We give a general form of the Jensen-Mercer operator inequality for convex functions and its refinement for operator convex functions, continuous fields of operators and unital fields of positive linear mappings. As consequences, we obtain a global upper bound for the Jensen's operator functional, and some properties of the quasi-arithmetic operator ...
A Matkovic, Josip Pecaric
exaly   +6 more sources

New Fractional Hermite–Hadamard–Mercer Inequalities for Harmonically Convex Function [PDF]

Journal of Function Spaces, 2021
In 2003, Mercer presented an interesting variation of Jensen’s inequality called Jensen–Mercer inequality for convex function. In the present paper, by employing harmonically convex function, we introduce analogous versions of Hermite–Hadamard ...
Saad Ihsan Butt, Saba Yousaf, Atifa Asghar, Khuram Ali Khan, Hamid Reza Moradi   +4 more
doaj   +2 more sources

Generalized Jensen-Mercer Inequality for Functions with Nondecreasing Increments [PDF]

Abstract and Applied Analysis, 2016
In the year 2003, McD Mercer established an interesting variation of Jensen’s inequality and later in 2009 Mercer’s result was generalized to higher dimensions by M. Niezgoda. Recently, Asif et al.
Asif R. Khan, Sumayyah Saadi
doaj   +4 more sources

Some New Jensen–Mercer Type Integral Inequalities via Fractional Operators

Axioms, 2023
In this study, we present new variants of the Hermite–Hadamard inequality via non-conformable fractional integrals. These inequalities are proven for convex functions and differentiable functions whose derivatives in absolute value are generally convex ...
BAHTIYAR Bayraktar, Peter Korus, Juan E Nápoles Valdés   +2 more
exaly   +3 more sources

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 Horvath, Horvath László
exaly   +3 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, Shigeru Furuichi, Michal Fečkan   +2 more
exaly   +3 more sources