Results 31 to 40 of about 66 (60)

Jensen-Steffensen’s inequality for divided differences

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
This paper investigates generalizations of the classical Jensen-Steffensen inequality to the operator setting of divided differences. Using Hermite–Genocchi representation and leveraging the fundamental connection between the n-convexity of a function f and the convexity of its n-th derivative, we establish a series of new integral and discrete ...
Gorana Aras-Gazić, Julije Jakšetić, Sadia Khalid, Josip Pečarić   +3 more
openaire   +1 more source

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. 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

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

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

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

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.
Banić, Senka, Klaričić Bakula, Milica
openaire   +3 more sources

Cauchy type means related to the converse Jensen-Steffensen inequality

Rad Hrvatske akademije znanosti i umjetnosti. 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

Bellman-Steffensen type inequalities. [PDF]

J Inequal Appl, 2018
Jakšetić J, Pečarić J, Smoljak Kalamir K.   +2 more
europepmc   +1 more source