| The Asymptotic Property of Approximation to |x| by Newman Type Rational Operators |
| Received:February 27, 2003 |
| Key Words:
asymptotic property Newman rational operator approximation
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| Fund Project:NNSFC (10471130), Zhejiang Provincial Natural Science Foundation |
| Author Name | Affiliation | | XIE Ting-fan | Dept. of Math., Lishui Teachers' College, Zhejiang 323000, China
China Institute of Metrology, Hangzhou 310034, China | | ZHOU Song-ping | Inst. of Math., Zhejiang Sci-Tech University, Hangzhou 310018, China
4. Inst. of Math., Ningbo University, Zhejiang 315211, China |
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| Abstract: |
| Let p(x)=∏k=1n-1((k/n)r+x), 0n,r(x)=x(p(x)-p(-x))/(p(x)+p(-x)). The present note gives the asymptotic formula of (?)||x|-Hn,r(x)|. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2005.01.005 |
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