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| Bernstein型不等式与Steckin型不等式 | |
| 引用本文： | 林绍波,曹飞龙. Bernstein型不等式与Steckin型不等式[J]. 杭州师范学院学报(自然科学版), 2009, 8(3): 173-179 |
| 作者姓名： | 林绍波 曹飞龙 |
| 作者单位： | 1. 杭州师范大学理学院,浙江杭州,310036 2. 中国计量学院,信息与数学科学系,浙江杭州310018 |
| 基金项目： | Foundation item： Supported by the National Natural Science Foundation of China（No. 60873206）, and the Natural Science Foundation of Zhejiang Province of China（No. Y. 7080235）. |
| 摘 要： | Bernstein不等式在三角多项式逼近中起着非常重要的作用,比如它是证明逼近论逆定理即Steckin不等式的主要工具.文章建立了多维加权Bernstein型不等式与Steckin型不等式的关系,并进一步给出若干应用 |
| 关 键 词： | Bernstein型不等式 Steckin型不等式 光滑模 |
Bernstein-Type and Steckin-Type Inequality(I) |
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| LIN Shao-bo,CAO Fei-long. Bernstein-Type and Steckin-Type Inequality(I)[J]. Journal of Hangzhou Teachers College(Natural Science), 2009, 8(3): 173-179 | |
| Authors: | LIN Shao-bo CAO Fei-long |
| Affiliation: | 1. College of Science, Hangzhou Normal University, Hangzhou 310036, China; Department of Information and Mathematics Sciences, China Jiliang University, Hangzhou, 310018, China) |
| Abstract: | Bernstein and Steckin inequalities play an important role in approximation theory.For example,Bernstein inequality is the main tool to prove the Inverse Theorem and Embedding Theorem.This paper establishes the relation between weighted Bernstein-type inequality and Steckin-type inequality in a general system of multivariate function. |
| Keywords: | Bernstein-type inequality Steckin-type inequality moduli of smoothness |
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