WIAS Preprint No. 1756, (2012)
A generalization of Lagrange's algebraic identity and connections with Jensen's inequality
Authors
- Niculescu, Constantin P.
- Stephan, Holger
ORCID: 0000-0002-6024-5355
2010 Mathematics Subject Classification
- 26B25 26D15
Keywords
- Jensen's inequality, Lagrange's algebraic identity, convex function, slope function, barycenter of a measure
DOI
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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