Characterizability and uniqueness in real Chebyshev approximation

Chebyshev Centers and Approximation in Pre-Hilbert C*-Modules

Real Polynomial Chebyshev Approximation by the Carathiodory - Fejir Method

A new method is presented for near-best approximation of a real function F on [-r, r] by a polynomial of degree m. The method is derived by transplanting the given problem to the unit disk, then applying the Carath6odory-Fej6r theorem. The resulting near-best approximation is constructed from the principal eigenvalue and eigenvector of a Hankel matrix of Chebyshev coefficients of F. It is well ...

Design Algorithms for Doppler MTI and Filters (Using Chebyshev Approximation)

Real vs Complex Rational Chebyshev Approximation on an Interval

Real VS. Complex Rational Chebyshev Approximation on an Interval

I f f E C[-I, I] is real-valued, let Er( f ) and E'( f ) be the errors in best approximation to f in the supremum norm by rational functions of type ( m , n ) with real and complex coefficients, respectively. It has recently been observed that E'( f ) < Er( f ) can occur for any n > 1, but for no n 1 is it known whether y,,,, = inf, E'( f ) / E r ( f ) is zero or strictly positive. Here we show...