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Bernstein-Kantorovich算子导数与光滑性
Derivatives of Bernstein-Kantorovich Operators and Smoothness
【摘要】 借助于r-阶古典光滑模ωr(f,t),研究了Bernstein-Kantorovich算子导数与它所逼近函数光滑性之间的关系,得到了Bernstein-Kantorovich算子导数与r-阶古典光滑模ωr(f,t)的等价定理.
【Abstract】 Use the r-th classic modulus of smoothness ωr(f,t) to study the relation of the derivatives between Bernstein-Kantorovich operators and the smoothness of the function it approximates,and obtain the equivalent theorem between the derivatives of Bernstein-Kantorovich operators and the r-th classic modulus of smoothness ωr(f,t).
【关键词】 Bernstein-Kantorovich算子;
光滑模;
导数;
【Key words】 Bernstein-Kantorovich operators; modulus of smoothness; derivatives;
【Key words】 Bernstein-Kantorovich operators; modulus of smoothness; derivatives;
【基金】 浙江省自然科学基金资助项目(102005)
- 【文献出处】 吉首大学学报(自然科学版) ,Journal of Jishou University(Natural Science Edition) , 编辑部邮箱 ,2003年01期
- 【分类号】O177
- 【被引频次】1
- 【下载频次】23