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Equivalence theorem on weighted simultaneous Lp-approximation by means of Szasz-Kantorovich operators and Baskakov-Kantorovich operators

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Approximation Theory and its Applications

Abstract

The intention of this paper is to give direct and converse results on weighted simultaneous approximation by means of Szász-Kantorovich operators and Baskakov-Kantorovich operators in Lp-norms using the weighted Ditzian-Totik modulus of smoothness.

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References

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Authors and Affiliations

  1. Mathematics Institute, Zhejing University, 310027, Hangzhou, P.R. China

    Li Bingzheng

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  1. Li Bingzheng
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Supported by the foundation of Zhejiang province

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Bingzheng, L. Equivalence theorem on weighted simultaneous Lp-approximation by means of Szasz-Kantorovich operators and Baskakov-Kantorovich operators. Approx. Theory & its Appl. 10, 76–87 (1994). https://doi.org/10.1007/BF02836301

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  • DOI: https://doi.org/10.1007/BF02836301

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