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Degree of approximation associated with some elliptic operators and its applications

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Approximation Theory and its Applications

Abstract

The Jackson-type estimates by using some elliptic operators will be achieved. These results will be used to characterize the regularity of some elliptic operators by means of the approximation degree and the saturation class of the multivariate Bernstein operators as well.

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Authors and Affiliations

  1. Department of Mathematics, University of Duisburg, 47057, Duisburg, Germany

    Xinlong Zhou

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  1. Xinlong Zhou
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Zhou, X. Degree of approximation associated with some elliptic operators and its applications. Approx. Theory & its Appl. 11, 9–29 (1995). https://doi.org/10.1007/BF02836276

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  • DOI: https://doi.org/10.1007/BF02836276

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