Generalizations of Steffensen’s Inequality by Lidstone’s Polynomials

• Дата: 2015
• Автори: Pečarić, J. E., Perušić, A., Smoljak, K., Печарик, Й. Е., Перучик, А., Столяк, К.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2015
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2087
• Назва журналу: 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.