In this paper generalizations of Steensen's inequality with bounds involving any two subin-tervals motivated by Cerone's generalizations are given. Furthermore, weaker conditions for Cerone'sgeneralization as well as for new generalizations obtained in this paper are given. Moreover, functionalsdened as the dierence between the left-hand and the right-hand side of this generalizations are studiedand new Stolarsky type means related to them are obtained.
@article{258,
title = {Cerone's generalizations of Steffensen's inequality},
journal = {Tatra Mountains Mathematical Publications},
volume = {55},
year = {2013},
doi = {10.2478/tatra.v58i0.258},
language = {EN},
url = {http://dml.mathdoc.fr/item/258}
}
Pečarić, Josip; Perušić, Anamarija; Smoljak, Ksenija. Cerone's generalizations of Steffensen's inequality. Tatra Mountains Mathematical Publications, Tome 55 (2013) . doi : 10.2478/tatra.v58i0.258. http://gdmltest.u-ga.fr/item/258/