THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
Generalizations of some remarkable inequalities
D.M. B\v atine\c tu-Giurgiu and Neculai Stanciu

Abstract

In this paper, we present a generalization of Mitrinović's inequality for polygons, and triangles, a generalization of J. Radon's inequality and a generalization of Nesbitt's inequality. The main tool in the proofs is the inequality of Jensen.

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Keywords: Jensen inequality; Mitrinović inequality; J. Radon inequality; Bergström inequality; Nesbitt inequality.

Pages:  1$-$5     

Volume  XVI ,  Issue  1 ,  2013