TY - JOUR ID - 12286 TI - Generalizations of Steffensen's Inequality by Abel-Gontscharoff Polynomial JO - Khayyam Journal of Mathematics JA - KJM LA - en SN - AU - Pečarič, Josip AU - Perušić, Anamarija AU - Smoljak, Ksenija AD - Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovica 28a, 10000 Zagreb, Croatia´ AD - Faculty of Civil Engineering, University of Rijeka, Radmile Matejciˇ c 3,´ 51000 Rijeka, Croatia Y1 - 2015 PY - 2015 VL - 1 IS - 1 SP - 45 EP - 61 KW - Steffensen's inequality KW - Abel-Gontscharoff polynomial KW - Ostrowski type inequality KW - n_exponential convexity DO - 10.22034/kjm.2015.12286 N2 - 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. UR - https://www.kjm-math.org/article_12286.html L1 - https://www.kjm-math.org/article_12286_591d273366dd3ffe68de2b826be60f2e.pdf ER -