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带权情形Γ算子线性组合导数的Lp-逼近
WEIGHTED Lp-APPROXIMATION OF DERIVATIVESFOR LINEAR COMBINATIONS OF Γ-OPERATORS
【摘要】 本文利用带权情形Ditzian Totik无滑模与对应的K 泛函的等价Lp 度量中给出了Γ算子线性组合导数的全局逼近的特征刻画 .本文的结果实质性的推广了文 [3]中的主要结果
【Abstract】 We give a characterization of the global approximation of derivatives f (l) by linear combinations of Γ-operators G (l) n,r in weighted L p-norm by using of the equivalence between the weighted Ditzian-Totik modulus of smoothness and the weighted Ditzian-Totik K-functional. The result given in this paper really extends the result obtained in .
【关键词】 Γ算子;
加权同时逼近;
线性组合;
光滑模;
【Key words】 operators; weighted approximation; linear combinations; modulus of smoothness;
【Key words】 operators; weighted approximation; linear combinations; modulus of smoothness;
【基金】 国家自然科学基金资助项目 (10 0 710 71)
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2004年03期
- 【分类号】O177
- 【下载频次】19