Abstract
The characterization of analytic functions defined on a compact set K in R N {{\mathbf {R}}_N} by their polynomial approximation is possible if and only if K satisfies some “Bernstein type inequality", estimating any polynomial P in some neighborhood of K using the supremum of P on K. Some criterions and examples are given. Approximation by more general sets of analytic functions is also discussed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have