Interpolations of Jensen's Integral Inequality

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Dragomir, Sever S, Pearce, Charles and Pecaric, Josep (2001) Interpolations of Jensen's Integral Inequality. RGMIA research report collection, 4 (1).

Abstract

Weighted and unweighted interpolations of general order are given for Jensen’s integral inequality. Various upper–bound estimates are made for the differences between the interpolates and some convergence results derived. The results generalise and subsume a body of earlier work and employ streamlined proofs.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17366
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords convexity, Jensen’s inequality, Hadamard’s inequality
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