Results 1 to 10 of about 561 (100)

Jensen–Steffensen inequality for strongly convex functions [PDF]

Journal of Inequalities and Applications, 2018
The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensen–Steffensen inequality for convex functions. In
M. Klaričić Bakula
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Generalized Jensen-Steffensen and related inequalities [PDF]

Journal of Mathematical Inequalities, 2015
We introduce a new tool for comparing two linear functionals that are positive on convex functions. We generalize Jensen-Steffensen and related inequalities.
Jakšetić, Julije, Pečarić, Josip, Praljak, Marjan   +2 more
core   +3 more sources

On the refinements of the Jensen-Steffensen inequality [PDF]

Journal of Inequalities and Applications, 2011
In this paper, we extend some old and give some new refinements of the Jensen-Steffensen inequality. Further, we investigate the log-convexity and the exponential convexity of functionals defined via these inequalities and prove monotonicity property of ...
Khalid Sadia, Pečarić Josip, Franjić Iva   +2 more
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Generalizations of the Jensen-Steffensen and related inequalities

Open Mathematics, 2009
Abstract We present a couple of general inequalities related to the Jensen-Steffensen inequality in its discrete and integral form. The Jensen-Steffensen inequality, Slater’s inequality and a generalization of the counterpart to the Jensen-Steffensen inequality are deduced as special cases from these general inequalities.
Bakula Milica, Matić Marko, Pečarić Josip   +2 more
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On some conversions of the Jensen-Steffensen inequality [PDF]

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.
Josip Pečarić, Slavica Ivelić
core   +5 more sources

New Upper Bounds for the Weighted Chebyshev Functional [PDF]

Annales Mathematicae Silesianae
New upper bounds for the weighted Chebyshev functional under various conditions, including those of Steffensen type, are given. The obtained results are used to establish some new bounds for the Jensen functional.
Bakula Milica Klaričić, Pečarić Josip   +1 more
doaj   +3 more sources

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
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Jensen-Steffensen type inequality for integrals with respect to bi-capacities [PDF]

, 2021
Bipolarni pan integral, kao novi tip integrala baziranog na fazi bi- merama je prikazan u okviru disertacije. Pored toga, u okviru ove disertacije prikazana je Jensenova nejednakost za: diskretni bipolarni pseudo-integral, novi bipolarni Šokeov g ...
Todorov, Miloš
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Necessary and sufficient conditions for discrete inequalities of Jensen–Steffensen type with applications

Journal of Inequalities and Applications
In 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
László Horváth
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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.
Gorana Aras-Gazic, Josip Pecaric, Ana Vukelic   +2 more
doaj   +5 more sources