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The saturation class for linear combinations of Bernstein operators

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Abstract.

In this paper we study the saturation class for the linear combinations of Bernstein operators. The characterization of the saturation class involving the modulus of smoothness is proved under certain assumption.

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Authors and Affiliations

  1. Department of Mathematics, Lishui University, Zhejiang, Lishui, 323000, P.R. China

    Linsen Xie

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  1. Linsen Xie
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Correspondence to Linsen Xie.

Additional information

This research is supported by National Natural Science Foundation of China (10671019) and Zhejiang Provincial Natural Science Foundation of China (102005).

Received: 1 September 2007

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Xie, L. The saturation class for linear combinations of Bernstein operators. Arch. Math. 91, 86–96 (2008). https://doi.org/10.1007/s00013-008-2566-3

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  • DOI: https://doi.org/10.1007/s00013-008-2566-3

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