Nicoleta Voicu -- Inequalities from Lorentz-Vinsler norms
Author information
- Nicoleta Voicu (joint work with N. Minculete and C. Pfeifer)
- Transylvania University
Abstract:
We show that Lorentz-Finsler geometry offers a powerful tool in obtaining inequalities. With this aim, we first point out that a series of famous inequalities such as: the (weighted) arithmetic-geometric mean inequality, Aczel’s, Popoviciu’s and Bellman’s inequalities, are all particular cases of a reverse Cauchy-Schwarz, respectively, of a reverse triangle inequality holding in Lorentz-Finsler geometry. Then, we use the same method to prove some completely new inequalities, including two refinements of Aczel’s inequality.