Results 31 to 40 of about 1,692 (153)

Functions Like Convex Functions

Journal of Function Spaces, 2015
The paper deals with convex sets, functions satisfying the global convexity property, and positive linear functionals. Jensen's type inequalities can be obtained by using convex combinations with the common center. Following the idea of the common center,
Zlatko Pavić
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Application of Functionals in Creating Inequalities

Journal of Function Spaces, 2016
The paper deals with the fundamental inequalities for convex functions in the bounded closed interval. The main inequality includes convex functions and positive linear functionals extending and refining the functional form of Jensen’s inequality.
Zlatko Pavić, Shanhe Wu, Vedran Novoselac   +2 more
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Operator Jensen’s Inequality for Operator Superquadratic Functions

Axioms, 2022
In this work, an operator superquadratic function (in the operator sense) for positive Hilbert space operators is defined. Several examples with some important properties together with some observations which are related to the operator convexity are ...
Mohammad W. Alomari, Christophe Chesneau, Ahmad Al-Khasawneh   +2 more
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Generalization of cyclic refinements of Jensen’s inequality by Fink’s identity

, 2018
We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order convex function by means of Lagrange–Green’s function and Fink’s identity.
Saad Ihsan Butt, László Horváth, Nasir Mehmood, Josip Pečarić   +3 more
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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
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Jensen’s inequality and new entropy bounds

, 2009
We establish new lower and upper bounds for Jensen’s discrete inequality.
Slavko Simic, Simic, Slavko
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On an upper bound for Sherman’s inequality

Journal of Inequalities and Applications, 2016
Considering a weighted relation of majorization, Sherman obtained a useful generalization of the classical majorization inequality. The aim of this paper is to extend Sherman’s inequality to convex functions of higher order.
Slavica Ivelić Bradanović, Naveed Latif, Josip Pečarić   +2 more
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Operator inequalities associated with Jensen’s inequality

, 2000
We give a survey of various operator inequalities associated with Jensen’s inequality and study the class of operator convex functions of several variables.
Frank Hansen, Hansen, Frank
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A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps [PDF]

, 2017
In this paper we show that the celebrated Davis-Choi-Jensen’s inequality for normalised positive linear maps can be extended in a weakened form for convex functions.
Dragomir, Silvestru, Dragomir, S. S., Dragomir, Sever S, S. S Dragomir   +3 more
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Refinements of the integral form of Jensen’s and the Lah–Ribarič inequalities and applications for Csiszár divergence

Journal of Inequalities and Applications, 2020
In this paper, we give refinements of the integral form of Jensen’s inequality and the Lah–Ribarič inequality. Using these results, we obtain a refinement of the Hölder inequality and a refinement of some inequalities for integral power means and ...
J. Pečarić, J. Perić
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