Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure

Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure

Abstract We derive the Levinson type generalization of the Jensen and the converse Jensen inequality for real Stieltjes measure, not necessarily positive. As a consequence, also the Levinson type generalization of the Hermite-Hadamard inequality is obtained. Similarly, we derive the Levinson type ge...

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Bibliographic Details
Main Authors: Rozarija Mikić, Josip Pečarić, Mirna Rodić
Format: Article
Language:English
Published: SpringerOpen 2017-01-01
Series:Journal of Inequalities and Applications
Subjects:
Jensen’s inequality
converse Jensen’s inequality
Hermite-Hadamard’s inequality
Giaccardi’s inequality
Levinson’s inequality
Green function
Online Access:http://link.springer.com/article/10.1186/s13660-016-1274-y

Internet

http://link.springer.com/article/10.1186/s13660-016-1274-y

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