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

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 Chebysh...

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Główni autorzy:	Gorana Aras-Gazic, Josip Pecaric, Ana Vukelic
Format:	Artigo
Język:	Inglês
Wydane:	Publishing House of the Romanian Academy 2017-09-01
Seria:	Journal of Numerical Analysis and Approximation Theory
Hasła przedmiotowe:	majorization Green function Jensen inequality Jensen-Steffensen inequality (2n)-convex function Lidstone polynomial
Dostęp online:	https://ictp.acad.ro/jnaat/journal/article/view/1111
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