Some properties of two-dimensional Bernstein polynomials

DOI10.1016/0021-9045(89)90095-6zbMath0698.41006OpenAlexW2003811780MaRDI QIDQ912328

Francisco Luquin Martinez

Publication date: 1989

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(89)90095-6

zbMATH Keywords

modulus of continuityBernstein polynomial

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximation by other special function classes (41A30)

Related Items (10)

Unnamed Item ⋮ Bivariate general Appell interpolation problem ⋮ Bivariate Extension of Linear Positive Operators ⋮ Some new inequalities and numerical results of bivariate Bernstein-type operator including Bézier basis and its GBS operator ⋮ Direct and converse results for multivariate generalized Bernstein polynomials ⋮ A new approach for numerical solution of two-dimensional nonlinear Fredholm integral equations in the most general kind of kernel, based on Bernstein polynomials and its convergence analysis ⋮ Simultaneous approximation by Bernstein polynomials with integer coefficients ⋮ Treating transcendental functions in partial differential equations using the variational iteration method with Bernstein polynomials ⋮ Construction of Stancu-type Bernstein operators based on Bézier bases with shape parameter \(\lambda\) ⋮ SHAPE PRESERVING ASPECTS OF BIVARIATE α-FRACTAL FUNCTION

Cites Work

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• Three approximation theorems in the space \(L_p\) by means of polynomials with integer coefficients
• On some results in the problem of diophantine approximation of functions by polynomials
• Bernstein Polynomials for Functions of Two Variables of Class C (k)
• On Two-Dimensional Bernstein Polynomials
• Linear Combinations of Bernstein Polynomials

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