Results 81 to 90 of about 4,869 (94)

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
openaire   +2 more sources

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
openaire  

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 ...
openaire   +1 more source

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  

Jensen's and Jensen–Steffensen's Inequalities

1992
openaire   +1 more source

Weaker Conditions for the q-Steffensen Inequality and Some Related Generalizations

Mathematics, 2020
Ksenija Smoljak Kalamir, Smoljak Kalamir Ksenija   +1 more
exaly  

On a Generalization of certain inequalities by Tchebychef and Jensen

, 1925
J. F. Steffensen
semanticscholar   +1 more source

Classical and New Inequalities in Analysis

, 1992
D. S. Mitrinovic, J. Pečarić, A. M. Fink   +2 more
semanticscholar   +1 more source

Convex Functions, Partial Orderings, and Statistical Applications

, 1992
J. Pečarić, F. Proschan, Y. Tong
semanticscholar   +1 more source

Some improvements and generalizations of Steffensen’s integral inequality

Applied Mathematics and Computation, 2007
H M Srivastava
exaly