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最优误差界
相关语句
  optimal error bound
     Optimal Error Bound in a Sobolev Space of Regularized Approximation Solutions for a Sideways Parabolic Equation
     一个抛物型方程侧边值问题的正则逼近解在一类Sobolev空间中的最优误差界
短句来源
  best error bounds
     BEST ERROR BOUNDS FOR DERIVATIVES IN TWO POINT H-B INTERPOLATION PROBLEMS
     一类H-B插值问题的最优误差界
短句来源
  optimal error bounds
     Optimal Error Bounds for Derivatives of Hermite-Birkhoff Interpolation Polynomials
     Hermite-Birkhoff插值多项式导数的最优误差界
短句来源
     OPTIMAL ERROR BOUNDS FOR HYPERBOLIC SPLINE INTERPOLATION OF ORDER_4
     四阶双曲样条插值的最优误差界
短句来源
     THE OPTIMAL ERROR BOUNDS FOR A CLASS OF CUBIC HB INTERPOLATION
     一类三次HB插值的最优误差界
短句来源
     Tikhonov regularization method for solving nonlinear operator equations of the first kind with perturbed operators and noisy data is considered. Under certain conditions for the nonlinear operator and the smoothness of the solution,some formulas for estimating the errors of the regularized solutions and some parameter choice strategies that yield regularized solutions with optimal error bounds are given.
     对算子和右端都有扰动的非线性第一类算子方程,证明了正则解的几个误差估计公式,并给出了达到最优误差界的阶的正则参数的选取方法.
短句来源
     Some optimal error bounds in a sobolev spaceof regularized approximation solutions for a sideways parabolic equation, i.e., a non-standard inverse heat conduction problem with convection term which appears in some applied subject are given.
     文中给出了出现在实际问题中的一个抛物型方程侧边值问题,即一个含有对流项的非标准型逆热传导问题的正则逼近解一类Sobolev空间中的最优误差界.
短句来源
  “最优误差界”译为未确定词的双语例句
     In this paper, Optimal error L_p—bounds for polynomial interpolating splines are discussed. It is proved that the constant in Optimal error L_1-bound equals that one, which is in L_∞ case. Using Riesz-Thofin theorem, we also show that the exact constant in the L_p case, 1
     本文讨论了多项式插值样条的L_p最优误差界,证明了L_p的最优误差常数与L_∞的常数相等,又利用Riesz-Thorin定理,证明了L_p(1
短句来源
     Optimal Error Lp-Bounds for Polynomial Interpalating Splines
     多项式插值样条的L_p模最优误差界
短句来源
     ON OPTMAL ERROR BOUNDS FOR INTERPOLATING SPLINES AND CORRESPONDING LINEAR WIDTH PROBLEMS
     样条插值的最优误差界和宽度问题(Ⅰ)
短句来源
     The article deal with the existence, uniqueness and the accurate derivative error bound of cubic mixed interpolating splines.
     本文给出的一类三次混合插值样条,即一阶导数及函数值本身在节点处的交替插值三次样条。 我们研究了这类样条的存在、唯一性,并得到了收敛性估计及三个导数最优误差界
短句来源
     let H_3(x) be the cubic HB inter-polation polynomial satisfying conditions H_3(0)=f(0), H_3(1)=f(1), H_3″(0)=f′(0) and H_3″(1) =f″(1). In this paper we obtain the optimal error boands fore~(α)(x)=H_3~(α)(x)-f~(α)(x), α=0,1,2,k in terms of ‖f~(k)‖=max 0≤x≤1 |f~(k)(x)|.
     又令H_3(x)是满足条件H_3(0)=f(0),H_3(1)=f(1),H_3~"(0)=f"(0)及H_3"(1)=f"(1)的三次HB插值多项式,本文给出e~(α)(x)=H~(α)-f~(α)(x),α=0,1,2,k用‖f~(k)‖=max 0≤x≤1 |f~(k)(x)|来表示的最优误差界
短句来源
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  optimal error bound
An optimal error bound for the cubic spline interpolation of lower smooth functions is obtained.
      
An optimal error bound is derived, independent of the perturbation parameter.
      
Optimal error bound in a Sobolev space of regularized approximation solutions for a sideways parabolic equation
      
The main aim consists in derivation of an optimal error bound for the approximations of the free boundary.
      
The norm convergence of the Trotter-Kato product formula is established with ultimate optimal error bound for the selfadjoint semigroup generated by the operator sum of two selfadjoint operators.
      
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  best error bounds
On best error bounds for approximation by piecewise polynomial functions
      
Best error bounds for some compound formulae approximatingf'i andfi(3) are also derived.
      
  optimal error bounds
Optimal error bounds for the cubic spline interpolation of lower smooth function (I)
      
In this paper, by using the explicit expression of the kernel of the cubic spline inter-polation, the optimal error bounds for the cubic spline interpolation of lower soomth functions are obtained.
      
Quasi-optimal error bounds are obtained, which is consistent with the interpolation properties of the finite elements used.
      
Optimal error bounds for the cubic spline interpolation of lower smooth functions (1)
      
Some optimal error bounds in a Sobolev space of regularized approximation solutions for a sideways parabolic equation,i.
      
更多          


In this paper, Optimal error L_p—bounds for polynomial interpolating splines are discussed. It is proved that the constant in Optimal error L_1-bound equals that one, which is in L_∞ case. Using Riesz-Thofin theorem, we also show that the exact constant in the L_p case, 1

本文讨论了多项式插值样条的L_p最优误差界,证明了L_p的最优误差常数与L_∞的常数相等,又利用Riesz-Thorin定理,证明了L_p(1

The article deal with the existence, uniqueness and the accurate derivative error bound of cubic mixed interpolating splines.

本文给出的一类三次混合插值样条,即一阶导数及函数值本身在节点处的交替插值三次样条。我们研究了这类样条的存在、唯一性,并得到了收敛性估计及三个导数最优误差界

Let f(x)∈C~k[0, 1], k=2, 3 be given; let H_3(x) be the cubic HB inter-polation polynomial satisfying conditions H_3(0)=f(0), H_3(1)=f(1), H_3″(0)=f′(0) and H_3″(1) =f″(1). In this paper we obtain the optimal error boands fore~(α)(x)=H_3~(α)(x)-f~(α)(x), α=0,1,2,k in terms of ‖f~(k)‖=max 0≤x≤1 |f~(k)(x)|.

设f(x)∈C~k[0,1],k=2,3;又令H_3(x)是满足条件H_3(0)=f(0),H_3(1)=f(1),H_3~"(0)=f"(0)及H_3"(1)=f"(1)的三次HB插值多项式,本文给出e~(α)(x)=H~(α)-f~(α)(x),α=0,1,2,k用‖f~(k)‖=max 0≤x≤1 |f~(k)(x)|来表示的最优误差界

 
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