Generalized linear minimax approximation of system functions with constraints

Analysis and an algorithm are providedfor the linear minimax approximation of system functions when equality constraints are imposed upon the approximant and/or the basis functions do not form a Chebyshev set in the region of approximation. The latter situation is restricted to the case of common zeros shared by all basis functions. The theory and algorithm are especially useful in the approximation of arbitrary system functions by functions with restricted Fourier transforms.