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国家自然科学基金(10671019): 作品数：19被引量：14H指数：2; 导出分析报告; 相关作者：房艮孙陈广贵冯国段立芹雷文慧更多>>; 相关机构：北京师范大学西华大学台州学院呼伦贝尔学院更多>>; 相关期刊：《Science China Mathematics》《四川师范大学学报（自然科学版）》《北京师范大学学报（自然科学版）》《Acta Mathematica Scientia》更多>>; 相关主题：N-WIDTHSBERNSTEINBESOVMARCINKIEWICZ更多>>; 相关领域：理学电子电信自动化与计算机技术更多>>

Bernstein n-Widths of Besov Embeddings on Lipschitz Domains: 《Acta Mathematica Sinica,English Series》2013年第12期2283-2294,共12页Yue Wu LI Gen Sun FANG; supported by Natural Science Foundation of Inner Mongolia(Grant No.2011MS0103);supported by National Natural Science Foundation of China(Grant No.10671019); In this paper, using an equivalent characterization of the Besov space by its wavelet coefficients and the discretization technique due to Maiorov, we determine the asymptotic degree of the Bernstein n-widths of the c...; 关键词：Bernstein widths Besov spaces Lipschitz domains

某些周期函数类的Bernstein n-宽度的极子空间: 《数学物理学报（A辑）》2013年第2期292-297,共6页冯国; 国家自然科学基金(10671019);浙江省自然科学基金(LY12A01008);台州学院培育基金资助; 研究了以2π为周期的卷积函数类K_p与B_p的Bernstein n-宽度,得到当n为奇数时,它们在L^p(p∈(1,+∞))尺度下的极子空间.; 关键词：NCVD-核 B-核 BERNSTEIN N-宽度极子空间

Trigonometric Widths and Best N-Term Approximations of the Generalized Periodic Besov Classes B_(p,θ)~Ω: 《Journal of Mathematical Research and Exposition》2011年第1期129-141,共13页Li Qin DUAN Gen Sun FANG; Supported by the National Natural Science Foundation of China (Grant No.10671019);Scientific Research Foundation of Hangzhou Dianzi University (Grant No.KYS091507089); 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^Ωpθ in the space Lq for some ...; 关键词：trigonometric width best n-term approximation generalized Besov classes.

Baskakov-Durrmeyer算子线性组合加权逼近的Stechkin-Marchaud型不等式被引量：1: 《西南民族大学学报（自然科学版）》2010年第1期28-31,共4页冯国; 国家自然科学基金(No.10671019);台州学院重点科研项目(No.09ZD08); 讨论了光滑模与K-泛函的关系,给出Baskakov-Durrmeyer算子线性组合加权逼近Stechkin-Marchaud型不等式.同时,得到其逼近的逆定理.; 关键词：BASKAKOV-DURRMEYER算子线性组合 Stechkin-Marchaud型不等式 K-泛函加权逼近

Multivariate irregular sampling theorem被引量：1: 《Science China Mathematics》2009年第11期2469-2478,共10页CHEN GuangGui FANG GenSun; supported by National Natural Science Foundation of China (Grant No. 10671019);Research Fund for the Doctoral Program Higher Education (Grant No. 20050027007);Key Project of Technology Bureau of Sichuan Province (Grant No. 05JY029-138); In this paper,we prove a Marcinkiewicz-Zygmund type inequality for multivariate entire functions of exponential type with non-equidistant spaced sampling points. And from this result,we establish a multivariate irregu...; 关键词：Marcinkiewicz-Zygmund type inequality multivariate irregular sampling theorem entire function of exponential type 94A20 94A12 41A35 41A80

利用Gaussian核对多元函数的近似逼近及其误差估计被引量：3: 《四川师范大学学报（自然科学版）》2009年第5期581-587,共7页徐艳艳陈广贵雷文慧; 国家自然科学基金(10671019);教育部博士点基金(20050027007);四川省科技厅重点项目基金(05JY029-138)资助项目; V.Maz’ya首次提出了近似逼近法,其主要是研究定义在全空间上的光滑函数的逼近情况,但它不能有效的处理积分和拟微分算子的高阶求积公式问题及利用更有效的数值和半数值方法解决数学物理的边界等问题.F.M櫣ller和W.Varnhorn给出了一维...; 关键词：Gaussian核近似逼近数全误差 TAYLOR公式

多元非正规样本定理被引量：2: 《中国科学（A辑）》2009年第8期1003-1010,共8页陈广贵房艮孙; 国家自然科学基金(批准号:10671019);教育部博士点基金(批准号:20050027007);四川省科技厅重点项目基金(批准号:05JY029-138)资助项目; 本文研究了多元指数型整函数在非等距节点的Marcinkiewicz-Zygmund型不等式.据此,得到了多元非正规样本定理.; 关键词：Marcinkiewicz-Zygmund型不等式多元非正规样本定理指数型整函数

An Inequality of Bohr Type on Hardy-Sobolev Classes: 《Journal of Mathematical Research and Exposition》2009年第2期213-218,共6页LI Xue Hua; the National Natural Science Special-Purpose Foundation of China （No. 10826079）; the National Natural Science Foundation of China （No. 10671019）; the Initial Research Fund of China Agricultural University （No. 2006061）.; Let β 〉 0 and Sβ ：= {z ∈ C ：｜Imz｜〈β} be a strip in the complex plane. For an integer r ≥ 0, let H∞^Г,β denote those real-valued functions f on R, which are analytic in Sβ and satisfy the restriction ...; 关键词：Hardy-Sobolev classes the spectrum of a function an inequality of Bohr type.

Reconstruction of Non-Bandlimited Functions by Multidimensional Sampling Theorem of Hermite Type: 《Journal of Mathematical Research and Exposition》2009年第2期349-354,共6页LI Yue WU FENG Guo; the National Natural Science Foundation of China （No. 10671019）; Research Project of Science and Technology of Higher Education of Inner Mongolia （No. NJzy08163）; Research Project of Education Bureau of Zhejiang Province （No. 20070509）.; In this paper, we prove that under some restricted conditions, the non-bandiimited functions can be reconstructed by the multidimensional sampling theorem of Hermite type in the space of Lp（R^n）, 1 〈 p 〈 ∞.; 关键词：multidimensional sampling theorem non-bandlimited functions Hermite cardinal series entire functions of exponential type.

Bernstein n-Widths for Classes of Convolution Functions with Kernels Satisfying Certain Oscillation Properties被引量：2: 《Acta Mathematica Sinica,English Series》2009年第3期393-402,共10页Guo FENG Gen Sun FANG; supported by the Natural Science Foundation of China (Grant No. 10671019);Research Fund for the Doctoral Program Higher Education (No. 20050027007);Scientific Research Fund of Zhejiang Provincial Education Department (No. 20070509); In this paper, we consider some classes of 2π-periodic convolution functions Bp, and Kp with kernels having certain oscillation properties, which include the classical Sobolev class as special case. With the help of ...; 关键词：Bernstein n-widths exact constants oscillation properties spectral of nonlinear integral equations

国家自然科学基金(10671019)