Nonlinear approximation in uniformly smooth Banach spaces
Nonlinear approximation in uniformly smooth Banach spaces
John R. Rice [<italic>Approximation of functions</italic>. Vol. II, Addison-Wesley, New York, 1969] investigated best approximation from a nonlinear manifold in a finite dimensional, smooth, and rotund space. The authors define the curvature of a manifold by comparing the manifold with the unit ball of the space and suitably define the …