Pointwise characterization for combinations of Baskakov operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2002 English Publisher:Springer Science and Business Media LLCJournal:Approximation Theory and its Applications, volume 18, pages 76-89 (issn: 1000-9221,

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Authors: Xie, Linsen; Zhang, Xiaoping;

doi: 10.1007/bf02837404

Pointwise characterization for combinations of Baskakov operators

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Abstract

Summary: We characterize thc pointwise rate of convergence for the combinations of the Baskakov operators using the Ditzian-Totik modulus of smoothness.

Keywords

Asymptotic approximations, asymptotic expansions (steepest descent, etc.), Approximation by operators (in particular, by integral operators), Ditzian-Totik modulus of smoothness, Rate of convergence, degree of approximation

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