Richard's inequality, Cauchy-Schwarz's inequality and approximate solutions of Sincov's equation
arXiv:1901.03957 · doi:10.1090/proc/14543
Abstract
We observe a connection between Cauchy-Schwarz' and Richard's inequalities in inner product spaces and a Ulam-type stability problem for multiplicative Sincov's functional equation. We prove that this equation is super-stable for unbounded mappings, i.e. every unbounded approximate solution is an exact solution.