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点态估计
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  pointwise estimate
     Given M>0 and Λ={λ-n}+∞-{n=1} a sequence of real number with 0≤λ-1<λ-2<:, and λ-{n+1}-λ-n≥M-n for every n≥1, the present paper gives a pointwise estimate for the rational approximation of Müntz system {x+{λ-n}}.
     给定 M >0 ,设Λ ={λn} ∞n=1是一个实数序列 ,满足 0≤λ1<λ2 <… ,且对所有 n≥ 1,有λn+ 1-λn≥ Mn . 本文得到了 Müntz系统 { xλn}有理逼近的一个点态估计 .
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     The Pointwise Estimate for Szász-Kantorovick Probabilistic Operators
     Szász-Kantorovick概率型算子的点态估计(英文)
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     The pointwise estimate for Szász-Kantorovick probabilistic operators by new Ditzian modulus of continuity is derived.
     利用新的Ditzian光滑模导出了Szász-Kantorovick概率型算子的点态估计.
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     The Pointwise Estimate for Stancu-Sikkema Operators
     Stancu-Sikkema算子的点态估计(英文)
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     POINTWISE ESTIMATE FOR THE RATE OF CONVERGENCE OF FOURIER LAPLACE SERIES
     Fourier-Laplace级数收敛速度的点态估计(英文)
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  pointwise estimates
     POINTWISE ESTIMATES FOR SZSZ-TYPE OPERATORS
     Szsz型算子同时逼近的点态估计
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     Pointwise Estimates for Linear Combinations of Baskakov Operators
     Baskakov算子线性组合的点态估计(英文)
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     Pointwise estimates of simultaneous appro- ximation for modified Szász operators
     修正的Szász算子同时逼近的点态估计(英文)
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     By careful pointwise estimates, it is proved that: Let N be a positive integer, φ∈C N (R 1), (0)=0, |φ(x)|+|φ (N) (x)| =O((1+|x|) -N-1-δ ) (for some δ>0), f(x)(1+|x|) -N-1 ∈L 1 (R 1), if g φ(f) is finite at N points, then g φ (f) is a.
     通过仔细的点态估计 ,证明了 :设 N 为一自然数 ,φ∈ CN(R1 ) ,φ(0 ) =0 ,| φ(x) | + | φ(N ) (x) | =O((1+ | x| ) - N - 1 -δ) (对某一 δ>0 ) ,f(x) (1+ | x| ) - N - 1∈ L1 (R1 ) ,如果 gφ(f)在 N个点有限 ,则 gφ(f)为 a.
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  pointwise estimation
     On the Pointwise Estimation of a Bernstein Polynomials
     关于一个Bernstein型插值多项式的点态估计
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     We discuss the integrable function f(x) that has period 2x and f(x) Lipa(0 pointwise estimation through Jackson-Matsuok operator approximation.
     对以 2π为周期函数f(x),且f(x)属于李普希茨α类(0<α≤1)的可积函数,用Jackson-Matsuok算子逼近,得到了点态估计式.
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     On the Pointwise Estimation of Approximation of Functions and Their Derivatives by Hermite Interpolation
     关于用Hermitfe插值逼近函数及其导数的点态估计(英文)
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     In this paper we discuss the approximation of Hermite - Fejer interpolation based on zeros of the Chebyshev polynomial. The paper give the pointwise estimation when f'(x) ∈ C[- 1,1 ],and show which can not be improved for certain class of functions.
     研究以Chebpehev多项式的零点为基点的Hermite—Fejer插值多项式,给出了具有一阶连续的导数的函数的一种点态估计,证明了对于某一函数类来说,这种估计是不可改进的.
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  “点态估计”译为未确定词的双语例句
     Given M > 0, 0 < a < 1 , a nonnegative sequence of real number {λ_n}_n~∞=1 such that λ_(n+1) - λ_n≥ Mn~(1+a) for all n ≥ 1 , the potwise estmate near the end point 1 of the interval [0,1] for the rational approximation of Müntz system {x~λn} is given.
     给定M>0,0<α<1,非负实数序列{λ_n}~∞_(n=1)满足λ_(n+1)-λ_n≥Mn~(1+α)对所有n≥1成立,给出了Müntz系统{x~λn}有理逼近在区间[0,1]之右端点1处的点态估计
短句来源
     Pointwose estimate for Müntz rational approximation
     Müntz有理逼近的点态估计
短句来源
     On the Potwise Estimate for Müntz Rational Approximation
     关于Müntz有理逼近的点态估计
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     Node Estimation of Convergence Order of the Third S.N.Bernstein Type Interpolation Polynomial
     第三型S.N.Bernstein插值多项式算子逼近阶的点态估计
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     Point Estimation About the Convergence Order of the Summation Operator of Bernstein Type
     关于Bernstein型求和算子收敛阶的点态估计
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  pointwise estimate
Pointwise estimate of the error of interpolation with multiple knots at the endpoints of the interval
      
The main result is Theorem 2 in which the exact pointwise estimate for Hn(f, Z, x) is given.
      
For the case of decay, we also establish the pointwise estimate for the maximum module of the Stokes flow and present a method for obtaining explicit bounds for the total energy.
      
A pointwise estimate for the stress in a cylinder and its application to Saint-Venant's principle
      
Subelliptic mollifiers and a basic pointwise estimate of Poincaré type
      
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  pointwise estimates
Pointwise Estimates for a Class of Oscillatory Integrals
      
In this article we establish pointwise estimates for a class of oscillatory integrals
      
We also prove pointwise estimates in these regions.
      
Pointwise estimates for a class of singular integrals and higher commutators
      
Pointwise Estimates and Stability for Dispersive-Diffusive Shock Waves
      
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  pointwise estimation
The relationship is studied between certain estimates of the distribution density, and also between problems of parametric estimation of the density and pointwise estimation of parametric functions.
      


Let L(n) be the all polynomials of the form ∑i=0nai(1 +x)i(1-x)-i with

Szabados在[6]中考虑了在(-1,1)中没有零点的n次仅有实零点的代数多项式的点态估计。本文将Szabados的问题加以一般化,在L~1尺度下考虑问题,并取得了相应的结果。

For f∈C[-1,1], let ω(f,δ) be the modulus of continuity of f and Hω= {f:ω(f,δ)≤ω((δ)}, where ω(δ) is a given modulus of continuity. Let Pn(x) be the n-th Legendre polynomial with normalization Pn(1) = l, and let -1 = y2n+1

文本讨论了以Legendre多项式及其导数的零点为结点的一类有理逼近,得到了它的精确点态估计.

In this paper, we give an estimate for the rate of convergence of the modified Durrmeyer-Bernstein operators Du ( f , x ) for the functions of bounded variation.

本文研究文(1)引入的修正Durrmeyer-Bernstein算子Dn(f, x),逼近区间[0,1]上有界变差函数的点态估计

 
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