Results 91 to 100 of about 581 (119)

Jensen-Steffensen Inequality: Accentuate the Negative

2023
One can say that the Jensen-Steffensen inequality is "the ugly sister" of the Jensen inequality: not much admired and usually "not invited to the party". Our goal here is to show that "she" has many hidden beauties and that "she" can proudly walk hand in hand with her well-known sister.
openaire  

Jensen–Steffensen inequality for diamond integrals, its converse and improvements via Green function and Taylor’s formula

Aequationes mathematicae, 2018
In [Nonlinear Anal., Real World Appl. 7, No. 3, 395--413 (2006; Zbl 1114.26004)], \textit{Q. Sheng} et al. introduced the combined dynamic derivative, also called diamond \(\alpha\)-dynamic derivative \((\alpha\in[0,1])\). Using the delta and nabla derivatives due to \textit{S.
Ammara Nosheen, Rabia Bibi, Josip Pečarić   +2 more
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On some general inequalities of the Jensen-Steffensen type

2008
We present a pair of general inequalities related to the Jensen-Steffensen inequality for convex functions. We show that the discrete Jensen-Steffensen inequality, as well as a discrete Slater type inequality, can be obtained from these general inequalities as their special cases. We also prove that one of our general companion inequalities, under some
Klaričić Bakula, Milica, Matić, Marko, Pečarić, Josip   +2 more
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Jensen-Steffensen inequality: old and new

2016
{;Let $I$ be an interval in $\mathbb{;R};$ and $f:I\rightarrow \mathbb{;R};$ a convex function on $I$.\ If $\boldsymbol{;\xi };=\left( \xi _{;1};, \cdots , \xi _{;m};\right) $ is any $m$-tuple in $I^{;m};$ and $\boldsymbol{;p};=\left( p_{;1};, \cdots , p_{;m};\right) $ any nonnegative $m$-tuple such that $% \sum_{;i=1};^{;m};p_{;i};>0$, then the well ...
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Conversions of the Jensen-Steffensen and Jensen-Mercer inequalities

2010
We establish conversions of the Jensen-Steffensen and Jensen-Mercer inequalities. We also use so caled exp-convex method to obtain some new inequalities related to those converse inequalities.
Klaričić Bakula, Milica, Ivelić Bradanović, Slavica, Pečarić, Josip   +2 more
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Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Hermite's polynomial and majorization theorem

Advances in Mathematics, 2015
In this paper, using majorization theorems and Hermite's interpolating polynomials we obtain results concerning Jensen's and Jensen- Steffensen's inequalities and their converses in both the integral and the discrete case. We give bounds for identities related to these inequalities by using \v{; ; ; C}; ; ; eby\v{; ; ; s}; ; ; ev functionals.
Pečarić, Josip, Vukelić, Ana, Aras-Gazić, Gorana   +2 more
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On the bounds for the normalized Jensen functional and Jensen-Steffensen inequality

2016
We consider the inequalities for normalized Jensen functional, recently introduced by S.S. Dragomir. We give an alternative proof of such inequalities and prove another similar result for the case when f is a convex function on an interval in the real line, while p and q satisfy the conditions for Jensen-Steffensen inequality.
Barić, Josipa, Pečarić, Josip
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On a Generalization of the Jensen–Shannon Divergence and the Jensen–Shannon Centroid

Entropy, 2020
Frank Nielsen
exaly  

Generalizations and refinements of the Jensen-Steffensen and its associated inequalities

2011
U disertaciji je razmatrana Jensen-Steffensenova i njoj srodne nejednakosti. Dan je niz profinjenja i poopćenja u različitim prostorima za razne klase funkcija nejednakosti Jensen-Steffensenova tipa te srodnih rezultata. Disertacija je podijeljena u šest poglavlja.
openaire  

Further improvement of Jensen inequality and application to stability of time-delayed systems

Automatica, 2016
Jin-Hoon Kim
exaly