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1)  locally bounded functions
局部有界函数
1.
Point-wise approximation of Lupas-Bezier operators for locally bounded functions;
Lupas-Bezier型算子列对局部有界函数的点态逼近估计
2.
The rates of convergence of Post-Gamma operators for locally bounded functions is studied by means of probabilistic methods and Bojanic-cheng s methods combining with analysis technigue, and it is proved that the estimation is asymptotically optimal for continuous points.
综合利用概率论中的中心极限定理的一种渐近展开形式和Bojanic-Cheng方法,研究了Post-Gamma算子 对局部有界函数的点态逼近估计,得到精确的逼近阶,并进一步证明了此估计在连续点处是渐进最优的。
3.
This paper studies the rate of convergence of Baskakov-Bézier operaters for locally bounded functions and obtains a accurate estimation on the rate of convergence of this type.
局部有界函数f的Baskakov-Bézier算子在区间[0,∞)上的收敛阶进行估计。
2)  local bounded functions
局部有界函数
1.
In this paper,we study the rate of convergence of integrated Szász-Bézier operators for local bounded functions f and obtain a accurate estimation on the rate of convergence of this type.
局部有界函数f的积分型Szász-Bézier算子的逼近阶进行估计。
2.
The rate of convergence of pointwise approximation for local bounded functions are obtained.
引入一种积分型的 Szász- Bézier算子 ,并研究其逼近性质 ,得到了此类算子对局部有界函数的逼近阶估计公
3)  locally bounded function
局部有界函数
1.
The rate of convergence of Lupas-Baskakov operators for locally bounded functions is studied by means of probabistic methods and Bojanic-Cheng methods combining with analysis technique.
综合利用概率论-中心极限定理的一种渐近展开形式和Bojanic- Cheng方法结合分析技巧研究了Lupas -Baskakov算子对局部有界函数的点态逼近估计,进一步证明了此估计在连续点处是渐近最优的,并给出了Lupas -Baskakov算子关于单调函数和凸函数的几何性质。
4)  Locally bounded
局部有界
1.
We also prove it is locally bounded.
引进一个新的函数空间M- 1 -有界变差函数空间并研究它成为准范空间的条件 进一步证明了它是局部有界
2.
Proves that (a)every locally pseudoconvex TVS admifs PB B property,(b)X is locally bounded if and only if it is locally pseudobounded and locally pseudoconvex,(c)there is not any non zero continuous linear operator mapping a pseudobounded TVS into a TVS with T 0 and PB B property.
证明了:(a)局部拟凸的TVS具有PB-B性质;(b)局部有界当且仅当局部拟有界且局部拟凸;(c)不存在从拟有界TVS到具有PB-B性质且满足T0公理的TVS的非零连续线性算子。
3.
The concept of locally bounded Bi-continuous cosine operator functions is introduced combine with the locally bounded properties of operators.
‖)和局部凸拓扑(X,τ)的Banach空间上,又结合算子的局部有界性,引入了局部有界双连续函数的概念,并研究了其生成元及生成元的若干性质。
5)  bounded function
有界函数
1.
From this,it is proved that when all the ratios of a subaddtive function defined on the interval(0,+∞) to the value of its variable form a bounded function,the subaddtive function must have supremum and infimum functions,which are homogeneously linear functions.
从这一结果出发证明了,当定义在(0,+∞)上的次可加函数与其自变量之比为有界函数时,次可加函数必存在上下确界函数,并证明了其上下确界函数均为齐次线性函数。
2.
In this paper,a proof is made of the equivalence in three definitions of the integral of bounded function in finite set measure.
关于Lebesgue积分,文献有不同的定义,本文给出了测度有限集上有界函数Lebesgue积分三种不同定义的等价性的一种证明。
3.
This paper gives a concept of Lebesgue-Stieltjes measure in monotone increasing left continuous bounded function and discuss some properties.
以单调递增左连续有界函数 f 给出了 Lebesgue-Stieltjes测度的概念 ,进一步讨论了由它产生的若干相应的性
6)  bounded functions
有界函数
1.
The derivation of bounded functions;
有界函数的导数(英文)
2.
This paper investigates the approximation properties of BS-Bézier operators for bounded functions.
研究BS-Bézier算子列关于一般有界函数的逼近性质,得到其收敛阶的精确估计。
补充资料:函数的局部逼近


函数的局部逼近
local approximation of fimctions

  函数的局部逼近【】以川a即rO:应na石阅of加叫出创旧;二oK幼‘。oe nPo6二H二eu,e中yllK颐,益」 集合EC=R“上函数f的一种逼近度量(特别是最佳逼近(比tapproximation)度量).主要问题是研究当m巴E~O时一个函数局部逼近的性态.在某些情形下,可借助函数的局部逼近来刻画被逼近函数的光滑阶,设E。(f;(:,刀))为区间(:,刀)(a蕊:<刀(b)上。次代数多项式对函数fcC【a,b]的最佳逼近.下述结论成立:函数f在la,b]上各点有。十1阶连续导数的充分必要条件是 奥琴兰典真卫一月‘x、,a簇x簇“· 气P一“夕对口~x,,一x,:  
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