论文标题
Aldaz-Kounchev渲染运营商及其近似属性
Aldaz-Kounchev-Render operators and their approximation properties
论文作者
论文摘要
讨论了Aldaz-Kounchev渲染(AKR)操作员的近似属性,并描述了这些操作员比经典伯恩斯坦运营商更好的功能类别。然后将新结果扩展到平方$ [0,1]^2 $的双变量案例,并与文献中已知的其他现有结果进行了比较。提出了几个数字示例,说明了相关性和支持理论发现
The approximation properties of the Aldaz-Kounchev-Render (AKR) operators are discussed and classes of functions for which these operators approximate better than the classical Bernstein operators are described. The new results are then extended to the bivariate case on the square $[0,1]^2$ and compared with other existing results known in literature. Several numerical examples, illustrating the relevance and supporting the theoretical findings, are presented