2017
Том 69
№ 9

All Issues

Generalizations of Steffensen’s Inequality by Lidstone’s Polynomials

Pečarić J. E., Perušić A., Smoljak K.


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.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 11, pp 1721-1738.

Citation Example: Pečarić J. E., Perušić A., Smoljak K. Generalizations of Steffensen’s Inequality by Lidstone’s Polynomials // Ukr. Mat. Zh. - 2015. - 67, № 11. - pp. 1525-1539.