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Uniform approximation with linear combinations of reproducing kernels. (English) Zbl 0864.41028

Authors’ abstract: We show several theorems on uniform approximation of functions. Each of them is based on the choice of a special reproducing kernel in an appropriate Hilbert space. The theorems have a common generalization whose proof is founded on the ideal of the Kaczmarz projection algorithm.
Reviewer: E.Deeba (Houston)

MSC:

41A99 Approximations and expansions
41A10 Approximation by polynomials
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