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On the Durrmeyer-type operators for bivariate functions

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Approximation Theory and its Applications

Abstract

For measurable functions f of two real variables there are considered the Boolean sums\(\tilde L_{m,n} f\) of parametric extensions of certain univariate Durmeyer-type operators\(\tilde L_m \) and\(\tilde L_n \). The weighted mixed moduli of continuity of\(\tilde L_{m,n} f\) are estimated and the degrees of approximation of f by\(\tilde L_{m,n} f\) in some weighted norms are investigated.

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Authors and Affiliations

  1. Institute of Mathematics Adam Mickiewicz University, Matejki 48-49, 60-769, Poznan, Poland

    P. Pych-Taberska

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  1. P. Pych-Taberska
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Pych-Taberska, P. On the Durrmeyer-type operators for bivariate functions. Approx. Theory & its Appl. 10, 25–36 (1994). https://doi.org/10.1007/BF02837038

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