Approximation properties of two dimensional Bernstein-Stancu-Chlodowsky operators (Q2868752)

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scientific article; zbMATH DE number 6239437
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Approximation properties of two dimensional Bernstein-Stancu-Chlodowsky operators
scientific article; zbMATH DE number 6239437

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    19 December 2013
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    generalizations of Bernstein polynomials
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    positive linear operators
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    triangle domain with mobile boundaries
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    shape preserving properties
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    Approximation properties of two dimensional Bernstein-Stancu-Chlodowsky operators (English)
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    Corresponding to two-dimensional generalizations of Bernstein-Stancu-type polynomials with shifted knots on triangles introduced in [\textit{A. D. Gadjiev} and \textit{A. M. Ghorbanalizadeh}, Appl. Math. Comput. 216, No. 3, 890--901 (2010; Zbl 1193.41004)], the authors introduce here two-dimensional Bernstein-Stancu-Chlodowsky operators on the triangle with mobile boundaries. Shape preserving and weighted approximation properties of these operators are obtained here.
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