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1)  combination of generalized Bernstein operator
推广的Bernstein组合算子
1.
In this paper the combination of generalized Bernstein operators is constructed,and a global reverse theorem for combinations of generalized Bernstein operators is obtained.
本文讨论推广的Bernstein组合算子饱和性,获得了Bernstein组合算子饱和性的整体逆定理。
2)  generalized Bernstein operators
广义Bernstein算子
1.
By the monotonicity of continuity modulus,the properties of a kind of generalized Bernstein operators preserving some characters of the function related to monotonicity,convexity,Lipschitz class and modulus of continuity are discussed.
借助连续模的单调性,讨论一类广义Bernstein算子对函数的单调性、凸性、Lipschitz类及连续模等几个保持性质。
3)  generalized Bernstein polynomials
推广的Bernstein多项式
1.
On the approxi mation for generalized Bernstein polynomials;
关于推广的Bernstein多项式的逼近
2.
The pointwise approximation degree of the derivatives of the generalized Bernstein polynomials for derivable functions is estimated,and the direct and converse theorems of approximation are established,so the corresponding results of Bernstein polynomials are generalized.
估计推广的Bernstein多项式导数对可导函数的点态逼近度,建立了逼近的正逆定理,从而推广了有关Bern-stein多项式的相应结果。
3.
The convergence of the derivatives of generalized Bernstein polynomials is discussed,and the direct theorem of the global approximation of the generalized Bernstein polynomials for the derivable function is established.
讨论了推广的Bernstein多项式的导数的收敛性,建立了推广的Bernstein多项式的导数对可导函数整体逼近的正定理。
4)  generalized Bernstein polynomial
推广的Bernstein多项式
1.
The inverse theorem of global approximation of derivatives of generalized Bernstein polynomials;
关于推广的Bernstein多项式同时逼近的逆定理
2.
In this paper the simultaneous approximation of generalized Bernstein polynomial C_n(f,S_n;x) for functions and the derivatives is studied.
研究推广的Bernstein多项式Cn(f,Sn;x)对函数及其导数的同时逼近;对于f∈Cp+s〔+0,1〕,p≥1,给出了Cn(p)(f,Sn;x)的渐进展开式。
5)  modified Bernstein-Durrmeyer operator
修正的Bernstein-Durrmeyer算子
1.
The modified Bernstein-Durrmeyer operators have some properties which are similar to the operators of either Bernstein or Bernstein-Durrmeyer.
修正的Bernstein-Durrmeyer算子既具有一些与Bernstein算子相似的性质,同时也具有Bernstein-Durrmeyer算子的一些性质。
6)  modified Durrmeyer Bernstein Operator
修正的Durrmeyer-Bernstein算子
补充资料:推广
1.推衍扩大。 2.谓扩大施行或作用范围。
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