On partial derivatives of multivariate Bernstein polynomials

DOI10.3103/S1055134416040039zbMath1374.41024WikidataQ59892143 ScholiaQ59892143MaRDI QIDQ2959172

E. V. Veretennikova, Alexander Yu. Veretennikov

Publication date: 9 February 2017

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencepartial derivativemultivariate Bernstein polynomial

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25)

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Cites Work

• On the convergence of derivatives of Bernstein approximation
• On the rate of approximation of functions by the Bernstein polynomials
• Voronovskaja-type theorem for certain GBS ope
• Mathematical analysis II. Transl. from the 4th Russian edition by Roger Cooke
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