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科技导报
| 研究论文 2013, 31(20): 51-53
Jackson多项式在广义Hölder度量下的逼近
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文晓霞
作者信息
Approximation of Jackson Polynomial Under the Generalized Hölder Metric
Affiliations
出版时间: 2013-07-18
doi: 10.3981/j.issn.1000-7857.2013.20.009
文章导航
林阿婵1991年给出Hölder度量下Jackson多项式的逼近与饱和定理,在此基础上,本文运用度量定义、连续模的性质、Jackson多项式的插值特性,再结合不等式的放缩方法,解决了如下问题:一个函数所生成的Jackson多项式与该函数之差在广义Hölder度量下的范数若要达到一定的阶,函数及其共轭函数所要满足的条件.最后给出了广义Hölder度量下Jackson多项式逼近与饱和的两个结果,建立了更广泛适用的理论.
Jackson多项式
/
广义Hö
/
lder度量
/
逼近
/
饱和
In the year of 1991, Lin Achan established a theory about the approximation and saturation of Jackson polynomial under Hölder metric. On the basis of those results,Jackson polynomial has been approximated under the generalized Hölder metric by using metric definition, modulus property, and interpolation feature of Jackson polynomial combining with the method of magnifying or diminishing inequality, the theory is effective proved. The following question is solved, namely, for a norm of the subtraction between function and its corresponding Jackson polynomial under generalized Hölder metric attains the certain degree, what kind of condition function and its conjugate function have to satisfy? In the end, two results about approximation and saturation of Jackson polynomial under generalized Hölder metric are obtained, which is more extensive than quondam conclusion.
Jackson polynomial
/
generalized Hö
/
lder metric
/
approximation
/
saturation
文晓霞.
Jackson多项式在广义Hölder度量下的逼近.
科技导报,
2013
, 31
(20)
: 51
-53
.
DOI: 10.3981/j.issn.1000-7857.2013.20.009
WEN Xiaoxia.
Approximation of Jackson Polynomial Under the Generalized Hölder Metric[J].
Science & Technology Review ,
2013
, 31
(20)
: 51
-53
.
DOI: 10.3981/j.issn.1000-7857.2013.20.009
2013年第31卷第20期
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文章信息
doi: 10.3981/j.issn.1000-7857.2013.20.009
接收时间:2012-12-21
首发时间:2013-07-18
出版时间:2013-07-18
收稿日期:2012-12-21
修回日期:2013-02-22
https://castjournals.cast.org.cn/joweb/kjdb/CN/10.3981/j.issn.1000-7857.2013.20.009
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2种不同金属材料的力学参数
科 Family 属数 Number of genus 种数 Number of species 占总种数比例 Percentage of total species (%) 属 Genus 种数 Number of species 占总种数比例 Percentage of total species (%) 鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78 小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39 多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39 红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87 小菇属 Mycena 11 5.26 光柄菇属 Pluteus 5 2.39 红菇属 Russula 17 8.13 栓菌属 Trametes 5 2.39
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