Jameson, Graham J. O. and Abramovich, Shoshana and Sinnamon, Gord (2004) Refining Jensen's inequality. Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 47 (95 (1-2). pp. 3-14. ISSN 1220-3874Full text not available from this repository.
A refinement of Jensen's inequality is presented. An extra term makes the inequality tighter when the convex function is ``superquadratic," a strong convexity-type condition introduced here. This condition is shown to be necessary and sufficient for the refined inequality. It is also shown to be strictly intermediate between two points of the scale of convexity. The refined Jensen's inequality is used to prove a Minkowski inequality with upper and lower estimates.
|Journal or Publication Title:||Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie|
|Additional Information:||RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics|
|Uncontrolled Keywords:||Jensen's inequality ; convex functions ; concave functions ; superadditive functions ; subadditive functions .|
|Subjects:||Q Science > QA Mathematics|
|Departments:||Faculty of Science and Technology > Mathematics and Statistics|
|Deposited On:||01 Apr 2008 16:28|
|Last Modified:||14 Oct 2013 12:55|
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