| 唐小军,王新长,曾招云,易华.Bernstein算子线性组合加权逼近下的Stechkin-Marchaud不等式[J].井冈山大学自然版,2017,(2):9-11,34 |
| Bernstein算子线性组合加权逼近下的Stechkin-Marchaud不等式 |
| STECHKIN-MARCHAUD TYPE INEQUALITIES OF WEIGHTED APPROXIMATION FOR THE LINEAR COMBINATIONS OF BERNSTEIN OPERATORS |
| 投稿时间：2016-11-02 修订日期：2017-02-08 |
| DOI：10.3969/j.issn.1674-8085.2017.02.002 |
| 中文关键词: Bernstein算子 光滑模 线性组合 Stechkin-Marchaud不等式 加权逼近 |
| 英文关键词: Bernstein operators linear combinations Jacobi weighted Stechkin-Marchaud type inequality weighted approximation |
| 基金项目:国家自然科学基金项目（61374188）；江西省自然科学基金项目（20161BAB201017） |
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| 中文摘要: |
| 利用K-泛函与光滑模的等价关系，研究了Bernstein算子线性组合加Jacobi权逼近下的Stechkin-Marchaud型不等式，并得到了Bernstein算子线性组合关于ωφr（f,t）w的逆定理，对已有结果进行了完善及补充。 |
| 英文摘要: |
| Based on the equivalence relation between the K-functional and the moduli of smoothness, the Stechkin-Marchaud type inequality with the Jacobi weighted approximation for the Linear Combinations of Bernstein Operators are established. Moreover, the inverse result of Bernstein Operators with ωφr(f,t)w is obtained, the existing results are improved and added. |
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