云南高校图书馆联盟文献共享服务平台- BERNSTEIN-DURRMEYER

BERNSTEIN-DURRMEYER: 作品数：30被引量：19H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：吴嘎日迪姜功建丁春梅邓雪莉牛彤彤更多>>; 相关机构：内蒙古师范大学芜湖师范专科学校西北第二民族学院长沙教育学院更多>>; 相关期刊：《Science China Mathematics》《工程数学学报》《纯粹数学与应用数学》《数学理论与应用》更多>>; 相关基金：国家自然科学基金福建省自然科学基金河北省自然科学基金宁夏回族自治区自然科学基金更多>>

Approximation properties for the genuine modi ed Bernstein-Durrmeyer-Stancu operators被引量：1: 《Applied Mathematics(A Journal of Chinese Universities)》2020年第4期468-478,共11页CAI Qing-bo Ulku Dinlemez Kantar Bayram Cekim; Supported by the National Natural Science Foundation of China(11601266);the Natural Science Foundation of Fujian Province of China(2020J01783);the Project for High-level Talent Innovation and Entrepreneurship of Quanzhou(2018C087R);the Program for New Century Excellent Talents in Fujian Province University and Fujian Provincial Scholarship for Overseas Study。; In this paper,we study on the genuine modified Bernstein-Durrmeyer-Stancu operators Gn(f,x)and investigate some approximation properties of them.Furthermore,we present a Voronovskaja type theorem for these operators.W...; 关键词：genuine modi ed Bernstein-Durrmeyer-Stancu operators Voronovskaja type approximation theorem rate of convergence modulus of continuity

On Weighted L^p-Approximation by Weighted Bernstein-Durrmeyer Operators被引量：2: 《Analysis in Theory and Applications》2018年第1期1-16,共16页Meiling Wang Dansheng Yu Dejun Zhao; In the present paper, we establish direct and converse theorems for weight-ed Bernstein-Durrmeyer operators under weighted L^p-norm with Jacobi weight w（x）=x^a（1-x）β.All the results involved have no restriction a...; 关键词：Weighted Lp-approximation weighted Bernstein-Durrmeyer operators direct andconverse theorems.

关于Bernstein-Durrmeyer-Bzier算子在Orlicz空间内的逼近被引量：3: 《纯粹数学与应用数学》2015年第3期307-317,共11页邓雪莉吴嘎日迪; 国家自然科学基金(11161033);内蒙古师范大学人才工程基金(RCPY-2-2012-K-036); 在连续函数空间和L_p空间内研究算子逼近方法的基础上,利用一阶DitzianTotik积分模与不等式技巧研究了Bernstein-Durrmeyer-Bzier算子在Orlicz空间内的逼近性质.得到了Bernstein-Durrmeyer-Bezier算子在Orlicz空间内的逼近正定理和逼...; 关键词：Bezier型算子逼近正定理等价定理 K-泛函光滑模

Orlicz空间内正系数代数多项式倒数对非负连续函数的逼近被引量：1: 《数学杂志》2014年第1期161-167,共7页牛彤彤吴嘎日迪; 国家自然科学基金资助项目(11161033);内蒙古师范大学人才工程基金资助项目(RCPY-2-2012-K-036);内蒙古师范大学研究生科研创新基金资助项目(CXJJS10039); 本文研究了Bernstein-Durrmeyer代数多项式倒数对非负连续函数在Orlicz空间中的逼近问题.利用光滑模和K-泛函等工具,获得了收敛速度的估计,所得的结果比Lp空间内的相应结果具有拓展的意义.; 关键词：多项式倒数 Bernstein-Durrmeyer多项式算子 ORLICZ空间逼近

Bernstein-Durrmeyer多项式在Orlicz空间中逼近的正逆定理: 《内蒙古师范大学学报（自然科学汉文版）》2012年第4期341-346,共6页顾春贺吴嘎日迪; 国家自然科学基金资助项目(11161033);内蒙古自然科学基金资助项目(2009MS0105); 运用凸函数的Jensen不等式、K-泛函和Hardy-Littlewood极大函数等工具,研究了Bernstein-Durrmeyer多项式在Orlicz空间内的逼近性质,建立了逼近正逆定理.; 关键词：Bernstein-Durrmeyer多项式 ORLICZ空间 K-泛函

Stechkin-Marchaud Type Inequalities in L<sub>p</sub> for Linear Combination of Bernstein-Durrmeyer Operators: 《Open Journal of Applied Sciences》2012年第4期228-232,共5页Feng Guo Meiqin Ke; In this paper, we use the equivalence relation between K-functional and modulus of smoothness, and give the Stechkin-Marchaud-type inequalities for linear combination of Bernstein-Durrmeyer operators . Moreover, we ob...; 关键词：BERNSTEIN-DURRMEYER OPERATORS linear combination K-FUNCTIONAL Stechkin-Marchaud-type inequalities modulus of smoothness

Approximation Theorems of Bernstein-Durrmeyer Operators in L_M^（Ba） Spaces: 《Chinese Quarterly Journal of Mathematics》2011年第3期400-404,共5页SUN Zhi-ling; Supported by the 2007 Year School Grade Plan Item of Inner Mongolia University for Nationalities(MDX2007030); With the weighted modulus of smoothness as a metric,we prove the direct and the inverse theorems of approximation by Bernstein-Durrmeyer operators in LBa M spaces. Especially an approximation equivalent theorem of the...; 关键词：LBa M spaces Bernstein-Durrmeyer operators smoothness modulus

APPLICATIONS OF BERNSTEIN-DURRMEYER OPERATORS IN ESTIMATING THE COVERING NUMBER被引量：1: 《Analysis in Theory and Applications》2010年第2期186-200,共15页Chunping Zhang Jianli Wang Baohuai Sheng; Supported by the National Natural Science Foundation of China (Grant No. 10871226); The paper deals with estimates of the covering number for some Mercer kernel Hilbert space with Bernstein-Durrmeyer operators. We first give estimates of l2- norm of Mercer kernel matrices reproducing by the kernelsK...; 关键词：Mercer kernel matrix covering number Bernstein-Durrmeyer operator

Learning rates of least-square regularized regression with polynomial kernels被引量：3: 《Science China Mathematics》2009年第4期687-700,共14页LI BingZheng WANG GuoMao; This paper presents learning rates for the least-square regularized regression algorithms with polynomial kernels. The target is the error analysis for the regression problem in learning theory. A regularization schem...; 关键词：learning theory reproducing kernel Hilbert space polynomial kernel regularization error Bernstein-Durrmeyer operators covering number regularization scheme 68T05 62J02

多项式核最小二乘正则化回归的逼近阶: 《中国科学（A辑）》2008年第9期1067-1080,共14页李秉政王国卯; 给出具有多项式核最小二乘正则化回归算法的逼近阶，目的是解决学习理论中回归问题的误差分析．构造了一种可以产生逼近于最优逼近阶的正则化方案，而所得到的逼近阶依赖于多项式空间的维数和具有多项式核的再生核Hilbert空间，同时也...; 关键词：学习理论再生核HILBERT空间多项式核正则化误差 BERNSTEIN-DURRMEYER 算子覆盖数正则化方案

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