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2013 The best lower bound for Jensen's inequality with three fixed ordered variables
Vasile Cirtoaje
Banach J. Math. Anal. 7(1): 116-131 (2013). DOI: 10.15352/bjma/1358864553

Abstract

In this paper we establish the best lower bound for the weighted Jensen's discrete inequality with ordered variables applied to a convex function $f$, in the case when the bound depends on $f$, weights and three fixed variables. Some applications for particular cases of interest are provided.

Citation

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Vasile Cirtoaje. "The best lower bound for Jensen's inequality with three fixed ordered variables." Banach J. Math. Anal. 7 (1) 116 - 131, 2013. https://doi.org/10.15352/bjma/1358864553

Information

Published: 2013
First available in Project Euclid: 22 January 2013

zbMATH: 1266.26026
MathSciNet: MR3004271
Digital Object Identifier: 10.15352/bjma/1358864553

Subjects:
Primary: 26D07
Secondary: 46A03 , 47J20

Keywords: best lower bound , Jensen's inequality , ordered variables , three fixed variables

Rights: Copyright © 2013 Tusi Mathematical Research Group

Vol.7 • No. 1 • 2013
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