Results 51 to 60 of about 1,692 (153)

Refinement of the Jensen integral inequality

Open Mathematics, 2016
In this paper we give a refinement of Jensen’s integral inequality and its generalization for linear functionals. We also present some applications in Information Theory.
Sever Dragomir Silvestru, Adil Khan Muhammad, Abathun Addisalem   +2 more
doaj   +1 more source

Interpolations of Jensen's Integral Inequality

, 2001
Weighted and unweighted interpolations of general order are given for Jensen’s integral inequality. Various upper–bound estimates are made for the differences between the interpolates and some convergence results derived.
Pearce, Charles, Pecaric, Josep, Dragomir, Sever S   +2 more
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Generalized Convex Functions on Fractal Sets and Two Related Inequalities

Abstract and Applied Analysis, 2014
We introduce the generalized convex function on fractal sets Rα ...
Huixia Mo, Xin Sui, Dongyan Yu
doaj   +1 more source

Another Converse of Jensen's Inequality

, 2009
We give the best possible global bounds for a form of discrete Jensen’s inequality.
Simic, Slavko
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Jensen’s Inequality in Finance

Jensen’s inequality, Concave and convex functions, Foreign exchange markets, Expected utility, Simulation of random normal variables, Equity risk premium, Power functions, CCAPM, D81, E44, F31, C15,
Samih Azar
core   +1 more source

Jensen’s Inequality for Convex Functions on N-Coordinates

, 2018
In recent years, new classes of convex functions have been introduced in order to generalize the results and to obtain new estimations. In this paper, we give generalization of the Jensen’s inequality by using definition of convex functions on n ...
Vivas-Cortez, Miguel, Medina Viloria, Jesus   +1 more
core   +1 more source

A new refinement of Jensen's inequality in linear spaces with applications

, 2009
A new refinement of Jensen's celebrated inequality for functions defined on convex sets in linear spaces is given.
Dragomir, Sever S
core  

Bellman–Steffensen type inequalities

Journal of Inequalities and Applications, 2018
In this paper some Bellman–Steffensen type inequalities are generalized for positive measures. Using sublinearity of a class of convex functions and Jensen’s inequality, nonnormalized versions of Steffensen’s inequality are obtained.
Julije Jakšetić, Josip Pečarić, Ksenija Smoljak Kalamir   +2 more
doaj   +1 more source

On an Open Problem by Feng Qi Regarding an Integral Inequality

, 2002
In the article, a functional inequality in abstract spaces is established, which gives a new affirmative answer to an open problem posed by Feng Qi in Several integral inequalities which appeared in J. Inequal. Pure Appl. Math. 1 (2000), no. 2, Art. 19.
Mazouzi, S, Qi, Feng
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Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces

, 2008
Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
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