Approximation of classes of analytic functions by algebraic polynomials and kolmogorov widths
Tóm tắt
We obtain estimates of the best polynomial approximations, uniform in the closure B of Faber domains of the complex plane ℂ, for functions continuous in B and defined by Cauchy-type integrals with densities possessing certain generalized differential properties. We establish estimates exact in order for the Kolmogorov widths of classes of such functions in relevant functional spaces.
Tài liệu tham khảo
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