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On Simultaneous Approximation by Optimal Algebraic Polynomials

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Abstract

In this paper the order of bestapproximation by algebraic polynomials is related to the order of weighted simultaneous approximation. A special case of a Markov-Bernstein type inequality proved by Ditzian and Totik in a very general fashion is used.

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References

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Heilmann, M. On Simultaneous Approximation by Optimal Algebraic Polynomials. Results. Math. 16, 77–81 (1989). https://doi.org/10.1007/BF03322645

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