WIAS Preprint No. 1756, (2012)

A generalization of Lagrange's algebraic identity and connections with Jensen's inequality



Authors

  • Niculescu, Constantin P.
  • Stephan, Holger

2010 Mathematics Subject Classification

  • 26B25 26D15

Keywords

  • Jensen's inequality, Lagrange's algebraic identity, convex function, slope function, barycenter of a measure

Abstract

We discuss a generalization of Lagrange's algebraic identity that provides valuable insights into the nature of Jensen's inequality and of many other inequalities of convexity.

Appeared in

  • Bull. Math. Soc. Sci. Math. Roumanie (N.S.), 56 (104) (2013) pp. 487--496.

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