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Uniform approximation by combinations of Bernstein polynomials

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Approximation Theory and its Applications

Abstract

We prove a pointwise characterization result for combinations of Bernstein polynomials. The main result of this paper includes an equivalence theorem of H. Berens and G. G. Lorentz as a special case.

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References

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Authors and Affiliations

  1. Department of Mathematics, Lishui Teacher's College, 323000, Lishui Zhejiang, P. R. China

    Xie Linsen

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  1. Xie Linsen
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Linsen, X. Uniform approximation by combinations of Bernstein polynomials. Approx. Theory & its Appl. 11, 36–51 (1995). https://doi.org/10.1007/BF02836577

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  • DOI: https://doi.org/10.1007/BF02836577

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