| 新条件下一类特殊函数的Muntz有理逼近 |
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| 引用本文： | 唐秀娟.新条件下一类特殊函数的Muntz有理逼近[J].宝鸡文理学院学报(自然科学版),2012,32(3):1-3. |
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| 作者姓名： | 唐秀娟 |
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| 作者单位： | 公安海警学院基础部,浙江宁波,315801 |
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| 摘 要： | 目的讨论有界变差函数BV0，1]和Sobolev类w：0，1]的Muntz有理逼近问题。方法应用构造性分析的方法进行研究。结果给出了在较为广泛条件下Muntz有理逼近的速度估计。结论所得结果说明Muntz有理函数可以实现对于有界变差函数和Sobolev函数的逼近。
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| 关 键 词： | Muntz有理逼近 Sobolev类 有界变差函数类 Lp空间 |
On a special rational approximation problem of Mǔntz function |
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| TANG Xiu-juan.On a special rational approximation problem of Mǔntz function[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2012,32(3):1-3. |
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| Authors: | TANG Xiu-juan |
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| Institution: | TANG Xiu-juan(Department of Basic Courses,Public Security and Marine Police Academy,Ningbo 315801,Zhejiang,China) |
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| Abstract: | Aim To discuss the Mǔntz rational approximation problems of functions in BV and Sobolev W1p.Method The constructive analysis is used to study the problems.Result The convergence rates are given in a very general condition.Conclusion Mǔntz rational may realize the approximation for bounded variation functions and the functions in Sobolev spaces. |
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| Keywords: | Mǔntz rational approximation Sobolev class Lpspaces bounded variation functions |
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