Generalizations of Steffensen’s Inequality by Lidstone’s Polynomials
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.