Results 31 to 40 of about 72 (61)

On the bounds for the normalized Jensen functional and Jensen-Steffensen inequality [PDF]

Mathematical Inequalities & Applications, 2009
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.
Pečarić, Josip, Matić, Marko, Barić, Josipa   +2 more
openaire   +3 more sources

Lives and work of the Serbian scientists [PDF]

, 2000
Edition Lives and Work of the Serbian Scientists till now encompassed 217 Serbian scientists. It has studied the course of life and work of 72 scientists, analyzed their scientific ideas and results and disclosed their contribution to the development ...

core  

Generalizations of Jensen-Steffensen and related integral inequalities for superquadratic functions

Open Mathematics, 2010
Abstract We present integral versions of some recently proved results which improve the Jensen-Steffensen and related inequalities for superquadratic functions. For superquadratic functions which are not convex we get inequalities analogous to the integral Jensen-Steffensen inequality for convex functions.
Abramovich Shoshana, Ivelić Slavica, Pečarić Josip   +2 more
openaire   +3 more sources

On some conversions of the Jensen-Steffensen inequality

Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti, 2013
Some conversions of the Jensen-Steffensen inequality for convex functions are considered. Applying exp- convex method improvements and reverses of the Slater-Pečarić inequality are obtained. Related Cauchy’s type means are defined and some basic properties are given.
Ivelić, Slavica, Pečarić, Josip
openaire   +4 more sources

Jensen, Hölder, Minkowski, Jensen-Steffensen and Slater-Pečarić inequalities derived through N-quasiconvexity [PDF]

Mathematical Inequalities & Applications, 2016
Summary: Jensen, Hölder, Minkowski, Jensen-Steffensen and Slater-Pečarić type inequalities derived by the properties of \(\gamma\)-quasiconvex functions that we deal with here, can be seen as analog to these for superquadratic functions and refinements of these for convex functions.
openaire   +1 more source

Generalized reversed Jensen-Steffensen and related inequalities

Carpathian Mathematical Publications
We compare two linear functionals that are negative on convex functions. Further, using Green's functions we give some new conditions for reversed Jensen-Steffensen and related inequalities to hold. Using Green's function we also give refinement of Levinson type generalization of reversed Jensen-Steffensen and related inequalities. The acquired results
A.R. Khan, F. Rubab
openaire   +1 more source

23rd Congress of the European Hematology Association Stockholm, Sweden, June 14‐17, 2018

, 2018
HemaSphere, Volume 2, Issue S1, Page 1-1113, June 2018.
wiley   +1 more source

Cauchy type means related to the converse Jensen- Steffensen inequality

Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti, 2013
In this paper we apply so called exp-convex method to the converse Jensen-Steffensen inequality in order to interpret it in the form of exponentially convex functions. The outcome is a new class of Cauchy type means and some new interesting inequalities related to them.
Ivelić, Slavica, Klaričić Bakula, Milica, Pečarić, Josip   +2 more
openaire   +4 more sources

Generalization of Jensen's and Jensen-Steffensen's inequalities and their converses by Lidstone's polynomial and majorization theorem

Journal of Numerical Analysis and Approximation Theory, 2017
In this paper, using majorization theorems and Lidstone'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 Chebyshev functionals.
Vukelić, Ana, Aras-Gazić, Gorana, Pečarić, Josip   +2 more
openaire   +4 more sources

A variant of Jensen-Steffensen's inequality for convex and superquadratic functions

Journal of inequalities in pure and applied mathematics, 2006
A variant of Jensen-Steffensen's inequality is considered for convex and for superquadratic functions. Consequently, inequalities for power means involving not only positive weights have been established.
Abramovich, Shoshana, Klaričić Bakula, M., Banic, S.   +2 more
openaire   +3 more sources