Better Uniform Approximation by New Bivariate Bernstein Operators

In this paper we introduce new bivariate Bernstein type operators BnM,i(f; x, y), i = 1, 2, 3. The rates of approximation by these operators are calculated and it is shown that the errors are significantly smaller than those of ordinary bivariate Bernstein operators for sufficiently smooth functions...

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Bibliographic Details
Published inInternational journal of analysis and applications Vol. 20; p. 60
Main Authors Gairola, Asha Ram, Maindola, Suruchi, Rathour, Laxmi, Mishra, Lakshmi Narayan, Mishra, Vishnu Narayan
Format Journal Article
LanguageEnglish
Published Etamaths Publishing 07.11.2022
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Summary:In this paper we introduce new bivariate Bernstein type operators BnM,i(f; x, y), i = 1, 2, 3. The rates of approximation by these operators are calculated and it is shown that the errors are significantly smaller than those of ordinary bivariate Bernstein operators for sufficiently smooth functions.
ISSN:2291-8639
2291-8639
DOI:10.28924/2291-8639-20-2022-60