Results 61 to 70 of about 3,706 (120)

Some Dynamic Inequalities of Hilbert’s Type

open access: yesJournal of Function Spaces, 2020
This paper is concerned with deriving some new dynamic Hilbert-type inequalities on time scales. The basic idea in proving the results is using some algebraic inequalities, Hölder’s inequality and Jensen’s inequality, on time scales. As a special case of
A. M. Ahmed   +3 more
doaj   +1 more source

Jensen's inequality for the Tukey median [PDF]

open access: yes, 2007
Jensen's inequality states for a random variable X with values in Rd and existing expectation and for any convex function f : R^d -> R, that f(E(X))
Gather, Ursula, Kwiecien, Robert
core   +1 more source

Bank insolvency risk and aggregate Z-score measures: a caveat [PDF]

open access: yes
We demonstrate that a popular approach to constructing (weighted) mean-based aggregate bank insolvency risk measures is inherently biased; we also suggest an alternative approach that avoids this problem.insolvency risk, aggregate Z-score, Jensen's ...
Frank Strobel
core  

Refined Wirtinger-type integral inequality

open access: yesJournal of Inequalities and Applications, 2018
Based on the extreme value conditions of a multiple variables function, a new class of Wirtinger-type double integral inequality is established in this paper.
Liansheng Zhang, Shuxia Wang
doaj   +1 more source

Jensen's inequality for the Tukey median [PDF]

open access: yes
--Shape analysis,spherical harmonic descriptors,optimal designs,mean square error,3D-image data,minimax optimal designs,robust designs,dependent ...
Gather, Ursula, Kwiecien, Robert
core  

On Jensen’s type inequalities via generalized majorization inequalities

open access: yesFilomat, 2018
In this paper, we give generalizations of Jensen?s, Jensen-Steffensen?s and converse of Jensen?s inequalities by using generalized majorization inequalities. We also present Gr?ss and Ostrowski-type inequalities for the generalized inequalities.
Khan J., Khan M.A., Pečarić J.
openaire   +3 more sources

Comparison Between Bayesian and Frequentist Tail Probability Estimates

open access: yes, 2019
In this paper, we investigate the reasons that the Bayesian estimator of the tail probability is always higher than the frequentist estimator. Sufficient conditions for this phenomenon are established both by using Jensen's Inequality and by looking at ...
González, Bárbara   +2 more
core  

A Proof of Jensen's Inequality

open access: yesMissouri Journal of Mathematical Sciences, 2003
A known proof of Jensen's inequality is given in a particularly simple form.
openaire   +3 more sources

Generalized Convex Functions on Fractal Sets and Two Related Inequalities

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

Improved Bounds for Integral Jensen’s Inequality Through Fifth-Order Differentiable Convex Functions and Applications

open access: yesAxioms
The main objective of this research is to obtain interesting estimates for Jensen’s gap in the integral sense, along with their applications. The convexity of a fifth-order absolute function is used to established proposed estimates of Jensen’s gap.
Sidra Nisar, Fiza Zafar, Hind Alamri
doaj   +1 more source

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