摘要
利用r阶Ditzian-Totik光滑模ωrφλ(f,t)(0≤λ≤1)给出了关于Bernstein-Kantorovich算子线性组合同时逼近的等价定理;同时研究了Bernstein-Kantorovich算子的高阶导数与所逼近函数高阶导数的光滑性之间的关系.
The equivalent theorems are given on simultaneous approximation for the combinations of Bernstein-Kantorovich operators by r-th Ditzian-Totik modulus of smoothness ωrφλ(f,t)(0≤λ≤1),and the relation between the derivatives of the combinations of Bernstein-Kantorovich operators and the smoothness of the derivatives of functions is also investigated.
出处
《浙江大学学报(理学版)》
CAS
CSCD
北大核心
2010年第5期493-496,共4页
Journal of Zhejiang University(Science Edition)
基金
浙江省自然科学基金资助项目(102005)
浙江省高校重点学科资金资助项目(2005)