Results 31 to 40 of about 82 (75)

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
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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.
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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
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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
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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
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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
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Jensen-Steffensen type inequality for integrals with respect to bi-capacities

, 2021
The bipolar pan-integral as new type of integral based on bi-capacities is introduced in the thesis. The main purpose of the thesis is to establish conditions under which the Jensen type inequality is valid for: the discrete bipolar pseudo-integral, the new bipolar Choquet g-integral, the bipolar Shilkret and the bipolar Sugeno integral.
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Bellman-Steffensen type inequalities. [PDF]

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

Necessary and sufficient conditions for discrete inequalities of Jensen–Steffensen type with applications

Journal of Inequalities and Applications
AbstractIn this paper we give a necessary and sufficient condition for the discrete Jensen inequality to be satisfied for real (not necessarily nonnegative) weights. The result generalizes and completes the classical Jensen–Steffensen inequality. The validity of the strict inequality is studied. As applications, we first give the form of our result for
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