科研之友
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摘要
Rational Bernstein operators are widely used in approximation theory and geometric modeling but in general they do not reproduce linear polynomials. Based on the work of P. Pitul and P. Sablonniere, we construct a new family of triangular and tensor product bivariate rational Bernstein operators, which are positive and reproduce the linear polynomials. The main result is a proof of convergence of the bivariate rational Bernstein operators defined on the square or triangle.
- 出版日期2015-5-1
- 单位大连理工大学
