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direct theorem
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  正定理
     On the Hardy-Littlewood Direct Theorem of the Translation Modulus of Continuity in H~P(01)Spaces
     H_q~p(01)空间中关于平移连续模的Hardy-Littlewood正定理
短句来源
     Give a direct theorem of uniform approximation by BaskakovDurrmeyer operators and its combinations mainly,and improve the results derived by Xuan Peicai to a general form by ω r φ λ (f,t)(0≤λ≤1,φ(x)=x(1+cx),c>0).
     给出了BaskakovDurrmeyer算子及其线性组合一致逼近的正定理,利用光滑模ωrφλ(f,t)(0≤λ≤1),φ(x)=x(1+cx),c>0)推广宣培才[1]导出的结果到一般形式
短句来源
     Use the Ditzian modulous of smoothness ω 2 φλ(f,t)(0≤λ≤1) to study the relation of the derivatives between Sikkema operators and the smoothness of the function it approximate, and a direct theorem between Sikkema operators and the Ditzian modulous of smoothness is obtained.
     利用 Ditzian模ω2φλ( f ,t) ( 0≤λ≤ 1 )研究了 Sikkema算子导数与它所逼近函数光滑性之间关系 ,得到了 Sikkema算子导数与 Ditzian模正定理
短句来源
     Direct Theorem of Approximation by Stancu Kantorovich Operators in Orlicz Spaces
     Stancu-Kantorovich算子在Orlicz空间逼近的正定理
短句来源
     In the paper, the approximation strong -- type direct theorem and weak -- type inverse theorem are given for Sikkema operators in the space C[0, 1 ], thus its approximation characterization is obtained.
     给出Sikkema算子在C[0,1]空间的逼近强型正定理和弱型逆定理,从而得到其g近的特征刻划.
短句来源
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  直接定理
     Direct Theorem for Two-dimensional Exponential-type Operators on (C,A)_α
     二重指数型算子在(C,A)_α上的逼近直接定理
短句来源
     In this paper, direct theorem is given for two-dimensional exponential-type operators on (C,A)a and difference representation for (C,A)a.
     在二元函数空间中引入指数型算子L_n_1.n_2,建立L_n_1.n_2在(C,A),上的逼近直接定理,并给出(C,A). 的差分表示。
短句来源
     A class of two dimension Meyer - Konig and Zeller Opcrators is constructed, and its degree of approximation and direct theorem on continuous function space and a class of interpolation space are obtained.
     构造了一类二维Meyer-KonigandZeller算子,并得到了它关于连续函数空间和一类插补空间的逼近阶和直接定理
短句来源
  “direct theorem”译为未确定词的双语例句
     The Extensions of Clifford Direct Theorem for Group-graded Rings
     群分次环的Clifford直接定理的推广
短句来源
     When 1 -1/r -a/r<λ≤1, by ω_(φ~λ)~(2r)(f ,t)_w we study pointwise approximation on V_(n,r)(f,x) and obtain a direct theorem and an equivalent theorem and a local saturation result.
     主要工作如下: 一、当1 -1/r -a/r<λ≤1时,用ω_(φ~λ)~(2r)(f ,t)_w讨论了V_(n,r)(f,x)的加权点态逼近,得到了正逼近定理、等价定理及饱和定理。
短句来源
     The results obtained in this paper actually imply that the establishment of the direct theorem will result in the establishment of the inverse theorem for the modified higher Hermite-Fejer interpolation and the modified higher Hermite interpolation.
     文中的结果说明,对于这几种修正高阶多项式插值的逼近问题而言,正定理的解决意味着逆定理的解决.
短句来源
     Using the equivalence relation between weighted K-functional and weighted modula of smoothness, a direct theorem and inverse theorem of the relation connected with derivatives of the Bernstein operators and the smoothness of functions are obtained.
     利用加权K-泛函与加权光滑模的等价关系,得到了加权意义下Bernstein算子的导数与它所逼近函数的光滑性之间关系的等价定理.
短句来源
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  direct theorem
The direct theorem of the theory of approximation of harmonic functions is established in the case of functions defined on a compact set, the complement of which with respect to ? is a John domain.
      
Direct Theorem about Approximation on a Family of Two Segments
      
A direct theorem for strictly convex domains in ?n
      
We prove a direct theorem for shape preservingLp-approximation, 0>amp;lt;p>amp;lt;∞, in terms of the classical modulus of smoothnessw2(f, tp1).
      
The sharpness of the rate of approximation by certain operators to the identity is considered in the sense that there exist smooth elements such that a rate (given by a direct theorem) cannot be improved.
      
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In this paper we discuss a Hardy-Littlewood direct theorem of transla- tion modulus of continuity in H_q~p(01) spaces.The main result is that for any f(z)∈H_q~p(01) and any τE(0,1) we have where z=x+iy,and c_(p,q) is a constant depending on p and q only.

本文讨论了 H_q~p(01)空间中的平移连续模的 Hardy-Littlewood 正定理,得到的主要结果是对任意 f(z)∈H_q~p及τ∈(0,1)有 M_p(1—τ.f′)≤C_(p,q),(ω(τ,f)/τ).

In this paper, we study the approximation in Orlicz spaces by the operators K_n(f,x)=sum from k=0 to ∞m_(nk)(x)C_(nk)~(-1)integral from n=0 to 1(dx/x)m_(nk)(t)f(t)dt, where C_(nk)=integral from n=0 to 1(dx/x)m_(nk)(t)dt=(n+1)/((n+k+1)(n+k+2)) m_(nk)(x)=(_k~(n+k))_x~k(1-x)~(n+1) the direct theorem and saturative theorem are obtained.

本文讨论了Mcycr-Konig-Zcllcr积分型算子在奥尔里奇空间(Orlicz Spaccs)中逼近的正定理与饱和性定理,其讨论推广和改进了的结果。

In this paper, the author study the Direct theorem and the Satura th theorem of Bernstein-Durrmeyer Operators w i th K functional The results be given w i th any order smoothness modulus of integrable

本文以Orlicz空间中之K泛函为工具讨论了Bernstein—Durrmeyer算子在Orlicz空间中逼近的正定理与饱和性定理.其结果以任意阶的积分光滑模给出.

 
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