The approximation properties of generalized Bernstein polynomials of two variables

DOI10.1016/j.amc.2003.07.023zbMath1063.41015OpenAlexW2079250736MaRDI QIDQ1888554

İbrahim Büyükyazici, Ertan Ibikli

Publication date: 23 November 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.07.023

zbMATH Keywords

degree of approximation2-dimensional Bernstein polynomials

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (8)

A note on the modified \(q\)-Bernstein polynomials for functions of several variables and their reflections on \(q\)-Volkenborn integration ⋮ Approximation of functions of two variables by certain linear positive operators ⋮ Approximation properties of a new type Bernstein-Stancu polynomials of one and two variables ⋮ Bivariate Mittag-Leffler functions arising in the solutions of convolution integral equation with 2D-Laguerre-Konhauser polynomials in the kernel ⋮ Rate of convergence by Chlodowsky-Taylor polynomials ⋮ Applications of Generalized Weighted Statistical Convergence to Approximation Theorems for Functions of One and Two Variables ⋮ Approximation by Means of Kantorovich-Stancu Type Operators ⋮ Construction of Stancu-type Bernstein operators based on Bézier bases with shape parameter \(\lambda\)

Cites Work

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• Application of Bernstein polynomials for smooth estimation of a distribution and density function
• The Bernstein Polynomials and Finite Differences

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