Refining Jensen's inequality

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 s...

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Veröffentlicht in:	Bulletin mathématiques de la Société des sciences mathématiques de Roumanie 2004-01, Vol.47 (95) (1/2), p.3-14
Hauptverfasser:	Abramovich, Shoshana, Jameson, Graham, Sinnamon, Gord
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied mathematics Convexity Industrial refining Integrands Mathematical functions Mathematical inequalities Mathematical theorems Tangents
Online-Zugang:	Volltext
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