Abstract
1.1. That convex functions play an important role in generating inequalities for the triangles was apparently first noticed by M. Petrović 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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Mitrinović, D.S., Pečarić, J.E., Volenec, V. (1989). Convex Functions and Geometric Inequalities. In: Recent Advances in Geometric Inequalities. Mathematics and Its Applications, vol 28. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7842-4_8
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