Titlebook: Recent Advances in Geometric Inequalities; D. S. Mitrinovi?,J. E. Pe?ari?,V. Volenec Book 1989 Springer Science+Business Media Dordrecht 1

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Transformations for the Angles of a Triangle,In this chapter we shall give some results about transformations of the angles of a triangle or polygon. First, we shall give the following result:

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Convex Functions and Geometric Inequalities,1.1. That convex functions play an important role in generating inequalities for the triangles was apparently first noticed by M. Petrovi? in 1916 (see [1–3]) who obtained the first general inequalities which include a convex function and the sides of a triangle:

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