Converse Jensen–Steffensen inequality
- 75 Downloads
In this paper we prove a converse to the Jensen–Steffensen inequality. We also present two inequalities complementary to the Jensen–Steffensen inequality. The equality case conditions are thoroughly investigated.
Mathematics Subject Classification (2000)26D15
KeywordsJensen–Steffensen inequality Jensen–Mercer inequality Jensen’s inequality
Unable to display preview. Download preview PDF.
- 3.Ivelić, S., Klaričić Bakula, M., Pečarić, J.: Cauchy type means related to the converse Jensen–Steffensen inequality. Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. (2011, in press)Google Scholar
- 5.Mercer, A.McD.: A variant of Jensen’s inequality. J. Inequal. Pure Appl. Math. 4(4), 2 pp., Article 73 (2003) (electronic)Google Scholar
- 6.Pečarić J.E., Proschan F., Tong Y.L.: Convex Functions, Partial Orderings, and Statistical Applications. Mathematics in Science and Engineering, vol. 187. Academic Press, Inc., Boston (1992)Google Scholar