Interpolations of Jensen's Inequality

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Dragomir, Sever S, Pearce, Charles and Pecaric, Josep (2003) Interpolations of Jensen's Inequality. Tamkang Journal of Mathematics, 34 (2). pp. 175-187. ISSN 0049-2930

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/2424
Official URL http://journals.math.tku.edu.tw/index.php/TKJM/art...
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords ResPubID5695, Convexity, Jensen’s inequality, Hadamard’s inequality
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