%0 Journal Article %T Generalizations of Steffensen's Inequality by Abel-Gontscharoff Polynomial %J Khayyam Journal of Mathematics %I Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures) %Z 2423-4788 %A Pečarič, Josip %A Perušić, Anamarija %A Smoljak, Ksenija %D 2015 %\ 01/01/2015 %V 1 %N 1 %P 45-61 %! Generalizations of Steffensen's Inequality by Abel-Gontscharoff Polynomial %K Steffensen's inequality %K Abel-Gontscharoff polynomial %K Ostrowski type inequality %K n_exponential convexity %R 10.22034/kjm.2015.12286 %X In this paper generalizations of Steffensen's inequality using Abel- Gontscharoff interpolating polynomial are obtained. Moreover, in a special case generalizations by Abel-Gontscharoffpolynomial reduce to known weaker conditions for Steffensen's inequality. Furthermore, Ostrowski type inequalities related to obtained generalizations are given. %U https://www.kjm-math.org/article_12286_591d273366dd3ffe68de2b826be60f2e.pdf