虞旦盛
姓名:虞旦盛
职称:教授
邮箱:dsyu@hznu.edu.cn
教学与课程:
教授本科课程有数学分析I-III、数学分析续、实变函数、泛函分析、离散数学;研究生课程有实函数逼近论、算子逼近、Fourier分析、有理逼近等。主持完成校教学攀登工程项目3项,编写教材1本,被评为校教学十佳。
学术研究:
主要从事函数逼近论、Fourier分析、求和理论与不等式等方面的研究,已发表论文80余篇,其中SCI收录近50篇。主持和参与完成国家自然科学基金4项,省部级项目7项,作为主要成员获浙江省科学技术奖一等奖和浙江省高校科研成果奖各一项.
B. Jiang, D. S. Yu, Approximation by Durrmeyer type Bernstein-Stancu polynomials in movable compact disks, Results in Math., 74(2019), Artical 28.
B. Jiang, D. S. Yu, On approximation by Stancu type Bernstein-Schurer polynomials in compact disks , Results in Math, 72(2017), 1623-1638.
B. Jiang, D. S. Yu, On approximation by Bernstein-Stancu polynomials in movable compact disks, Results in Math., 72(2017), 1535-1543.
虞旦盛, 周平, 由斜坡函数激发的神经网络逼近, 数学学报, 59(2016), 623-638.
虞旦盛, Bernstein算子对具有奇性函数的加权同时逼近,数学学报, 58(2015), 535-550.
M.L. Wang, D. S. Yu, P. Zhou, On the approximation by operators of Bernstein-Stancu types, Appl. Math. Comput., 246(2014), 79-87.
马国春,虞旦盛*,周平,单变量Sigomoidal型神经网络的逼近,数学学报,57(2014), 89-100.
D. S. Yu, Weighted approximation by modified Kantorovich-Bernstein operators, Acta Math. Hungar.,141(2013), 132-149.
D. S. Yu, Y. Zhao and P. Zhou, Error estimates for modified approximate approximation with Gaussian kernel. Calcolo, 50(2013), 195-208.
D. S. Yu, Approximation by neural networks with sigmoidal functions, Acta Math. Sinica, 29(2013), 2013-2026.
D. S. Yu and P. Zhou, A new class of Matrices and its applications to absolute summability factors theorem, Math. Comput. Modelling, 57(2013), 401-412.
D. S. Yu, Weighted approximation by rational operators for functions with singularities, Acta Math. Hungar. 136(2012),56-75.
H. Bor and D. S. Yu, A newer application of almost increasing and quasi monotone sequences, Appl. Math. Letter, 24(2011), 1347-1450
H. Bor and D. S. Yu, An application of quasi-monotone and almost increasing sequences, Appl. Math. Letter, 24(2011), 789-792.
D. S. Yu and G. Z. Zhou, A summability factors theorem for generalized absolute Cesaro summability, Math. Comput. Modelling, 53(2011), 832-838
D. S. Yu, P. Zhou and S. P. Zhou, Pointwise and global estimate for approximation by rational functions with prescribed numerator degree, J. Approx. Theory, 162(2010), 1347-1363.
虞旦盛, Shepard-Lagrange算子的逼近,数学学报,53(2010),97-108.
D. S. Yu, P. Zhou and S. P. Zhou, On relations among Fourier coefficients and best approximation, Science in China, 51(2008),1883-1894.
D. S. Yu, On a result of Flett for Cesaro matrices, Appl. Math. Letter. ,22(2009),1803-1809.
D. S. Yu and S. P. Zhou, Approximation by rational operators in spaces, Math. Nachr., 282(2009),1600-1618.
D. S. Yu, P. Zhou and S. P. Zhou, An application of MVBV condition to L^1 convergence of Fourier series of complex valued functions, Canadian Math. Bull.. 52 (2009), 627-636
D. S. Yu, Weighted approximation of functions with singularities by combinations of Bernstein operators, Appl. Math. Comput..206(2008), 906-918.
D. S. Yu, P. Zhou and S. P. Zhou, On determination of jumps in terms of the Abel-Poisson mean of Fourier series, J. Math. Anal. Appl., 341 (2008), 12-23.
D. S. Yu and S. P. Zhou, A generalization of monotone condition and its application, Acta Math. Hungar., 115(2007), 247-267.
D. S. Yu, R. J. Le and S. P. Zhou, Remarks on convergence of trigonometric series with special varying coefficients, J. Math. Anal. Appl,.333(2007), 1128-1137.
D. S. Yu, P. Zhou and S. P. Zhou, On L^p integrability and convergence of trigonometric series, Studia Math., 182(2007), 215-226.
虞旦盛,周平,周颂平,最佳逼近和Fourier系数的等价关系,中国科学,37(2007), 1291-1302.
D. S. Yu and S. P. Zhou, On approximation by rational functions with prescribed numerator degree in spaces, Acta Math. Hungar.,111(2006),221-236