Generalizations of Steffensen’s Inequality by Lidstone’s Polynomials

• Published in: Український математичний журнал
• Date: 2015
• Main Authors: Pečarić, J., Perušić, A., Smoljak, K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165913
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Generalizations of Steffensen’s Inequality by Lidstone’s Polynomials / J. Pečarić, A. Perušić, K. Smoljak // Український математичний журнал. — 2015. — Т. 67, № 11. — С. 1525–1539. — Бібліогр.: 13 назв. — англ.

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. Отримано узагальнення нєрі...