Generalizations of Steffensen’s Inequality by Lidstone’s Polynomials

We obtain generalizations of Steffensen’s inequality by using Lidstone’s polynomials. Furthermore, the functionals associated with the obtained generalizations are used to generate n-exponentially and exponentially convex functions, as well as the new Stolarsky-type means.

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Bibliographic Details
Date:2015
Main Authors: Pečarić, J. E., Perušić, A., Smoljak, K., Печарик, Й. Е., Перучик, А., Столяк, К.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2015
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2087
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal