Existence of best $n$-convex approximations

D. Zwick
1986 Proceedings of the American Mathematical Society  
We prove that every function /, continuous on a compact interval [a,b], has a continuous, best n-convex approximation with respect to the uniform norm on [a,b\.
doi:10.1090/s0002-9939-1986-0835879-5 fatcat:72d7sdwa2fc5nn2nlti6klj65u