Generalizations of Steffensen's Inequality by Abel-Gontscharoff Polynomial

Authors

Josip Pečarič ¹

Anamarija Perušić ²

Ksenija Smoljak ¹

¹ Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovica 28a, 10000 Zagreb, Croatia´

² Faculty of Civil Engineering, University of Rijeka, Radmile Matejciˇ c 3,´ 51000 Rijeka, Croatia

10.22034/kjm.2015.12286

Abstract

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.

Keywords

Steffensen's inequality

Abel-Gontscharoff polynomial

Ostrowski type inequality

n_exponential convexity

Subjects

• 26 Real functions

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