Professional paper

Classical inequalities derived from the Jensen inequality

Mihaela Ribičić Penava ; Odjel za matematiku, Sveučilište J.J. Strossmayera u Osijeku, Osijek
Katarina Bošnjak ; Odjel za matematiku, Sveučilište J.J. Strossmayera u Osijeku, Osijek

Abstract

In this paper, weighted discrete Jensen’s inequality is presented. Some important inequalities such as mean inequalities, Young’s inequality, the Cauchy inequality, Hölder’s inequality and the Minkowski
inequality are also proved using Jensen’s inequality.

Keywords

Jensen’s inequality; convex functions; mean inequalities; Young’s inequality; Hölder’s inequality

Hrčak ID:

165816

URI

https://hrcak.srce.hr/165816

Publication date:

1.8.2016.

Article data in other languages: croatian

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