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| 1 | Non-Linear Approximation of Functions with Mixed Smoothness by Sets of Finite Pseudo-Dimension显示文摘在这篇论文,有围住的混合衍生物的 multivariatefunctions 的班上的非线性的近似被调查,并且这个班上的 thenon 线性的宽度的 asymptotic 度是坚定的。 | Guang Gui CHEN Gen Sun FANG Yuan Long RUAN | 2007 | Acta Mathematica Sinica,English Series2007，23，4： | 2 |
| 2 | Bernstein n-Widths for Classes of Convolution Functions with Kernels Satisfying Certain Oscillation Properties显示文摘在这篇论文,我们考虑 2 π-periodic 卷绕旋转功能的一些班,并且用有某些摆动性质的核,它作为特殊大小写包括古典 Sobolev 班。在的帮助下非线性的不可分的方程光谱,我们决定班的伯恩斯坦 n 宽度的准确价值,在空间 L p 为 1 <
p <
∞
。 | Guo FENG Gen Sun FANG | 2009 | Acta Mathematica Sinica,English Series2009，25，3： | 2 |
| 3 | The ε-Complexity of the Approximate Solution of Integral Equations with Isotropic Kernels | Wan MA Gen Sun FANG College of Mathematics & Information Science of Wenzhou University, Wenzhou 325027, P. R. China Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China | 2002 | Acta Mathematica Sinica,English Series2002，18，4： | 1 |
| 4 | Optimal Quadrature Problem on n-Information for Hardy-Sobolev Classes显示文摘为 > 0 并且整数 r 2,表示由[(H)\tilde ] | Xue Hua LI Gen Sun FANG | 2011 | Acta Mathematica Sinica,English Series2011，27，12： | 0 |
| 5 | Bernstein n-Widths of Besov Embeddings on Lipschitz Domains显示文摘In this paper, using an equivalent characterization of the Besov space by its wavelet coefcients and the discretization technique due to Maiorov, we determine the asymptotic degree of the Bernstein n-widths of the compact embeddings Bs+t q0(Lp0(Ω)) → Bs q1(Lp1(Ω)), t > max{d(1/p0 1/p1), 0}, 1 ≤ p0, p1, q0, q1≤∞, where Bs+t q0(Lp0(Ω)) is a Besov space defned on the bounded Lipschitz domain Ω Rd. The results we obtained here are just dual to the known results of Kolmogorov widths on the related classes of functions. | Yue Wu LI Gen Sun FANG | 2013 | Acta Mathematica Sinica,English Series2013，29，12： | 0 |
| 6 | Optimal Recovery on the Classes of Functions with Bounded Mixed Derivative显示文摘Temlyakov 在 L p 度量标准并且给了最佳的恢复错误的上面的估计。在这篇论文,我们由标准信息在 Sobolev 空格决定最佳的恢复的 asymptotic 订单,即,函数值,并且给达到最佳的恢复的 asymptotic 订单的将近最佳的算法。 | Gen Sun FANG Li Qin DUAN | 2009 | Acta Mathematica Sinica,English Series2009，25，2： | 0 |
| 7 | Trigonometric Widths and Best N-Term Approximations of the Generalized Periodic Besov Classes B_(p,θ)~Ω显示文摘In this paper,we determine the estimates exact in order for the trigonometric widths and the best n-term trigonometric approximations of the generalized classes of periodic functions B(p,θ)Ω in the space Lq for some values of parameters p,q. | Li Qin DUAN Gen Sun FANG | 2011 | Journal of Mathematical Research and Exposition2011，31，1： | 0 |
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