Generalizations of Steffensen’s Inequality by Lidstone’s Polynomials

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.