1) Generalized bounded variation
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广义有界变差
2) generalized bounded variational functions
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广义有界变差函数
1.
We survey the developments of generalized bounded variational functions during theperiod from 1972 to 1991.
广义有界变差函数在Fouricr分析及逼近论中的应用。
3) bounded variation function
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有界变差
1.
A theorem on estimate of pointwise approximation of bounded variation functions defined on by the partial sums of the second Chebyshev-Fourier series is obtained,and this theorem to monotonic type continuous functions is applied.
得到了第二类Chebyshev-Fourier级数部分和对[-1,1]上有界变差函数点态逼近估计的一个定理,并把这个定理应用于单调型连续函数。
4) bounded variation
![点击朗读](/dictall/images/read.gif)
有界变差
1.
Several conclusions of bounded variation in infinite integration convergence;
![点击朗读](/dictall/images/read.gif)
有界变差在无穷积分收敛中的几个结果
2.
This paper discussed some properties of fuzzy measure,internal measure and fuzzy integration on a normal fuzzy measure space which is subadditive and has bounded variation.
讨论了次可加、具有有界变差的正规模糊测度空间上关于模糊测度、内测度及模糊积分的性质,在此基础上定义了此模糊测度空间上随机变量的条件数学期望,它是相对于经典测度空间的一个推广。
3.
A discussion is made of the continuously sufficient and necessary conditions of the bounded variation f(x)on the closed interval in the paper.
讨论了有界变差数 f(x)在闭区间上连续的充要条件以及函数 f(x)在闭区间上有有界变差的充要条件。
5) generalized varying dispersion
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广义变离差
6) σ-boundary Variation
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σ-有界变差
补充资料:有界变差函数
有界变差函数 bounded variation,function of 定义在区间[a,b]上,并能表为两个单调增函数之差的实值函数。属常用的函数类,它有许多好的性质,例如:有界变差函数必为有界函数;两个有界变差函数的和、差、积仍为有界变差函数;有界变差函数在[a,b]上黎曼可积;有界变差函数在[a,b]上几乎处处可导,导函数在[a,b]上勒贝格可积。此外还有,平面上由y=f(x)表示的曲线C可求长的充分必要条件是f为有界变差函数。应注意的是,连续函数不一定为有界变差函数。例如: ![]() |
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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