Generalizations of Steffensen’s Inequality by Lidstone’s Polynomials

  • J. E. Pečarić
  • A. Perušić
  • K. Smoljak

Abstract

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.
Published
25.11.2015
How to Cite
Pečarić, J. E., A. Perušić, and K. Smoljak. “Generalizations of Steffensen’s Inequality by Lidstone’s Polynomials”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, no. 11, Nov. 2015, pp. 1525-39, http://umj.imath.kiev.ua/index.php/umj/article/view/2087.
Section
Research articles