Home Page of Gensun Fang


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Hello, welcome to my home page! Here, you can find some information of mine.



Current professional position:

Professor of School of Mathematical Sciences, Beijing Normal University, People"s Republic of China.

Official address:

School of Mathematical Sciences; Beijing Normal University; Beijing, 100875; China.

E-mail: fanggs@bnu.edu.cn

Telephone: 8610-6220-8731

Telefax: 8610-5880-8202

Education:

Ph. D., 1988, Department of Mathematics, Beijing Normal University, People"s Republic of China. Advisor was Professor Yongsheng Sun
M. S., 1985, Department of Mathematics, Beijing Normal University, People"s Republic of China. Advisor was Professor Yongsheng Sun
B. S., 1982, Department of Mathematics, Beijing Normal University, People"s Republic of China
Professional Memberships:

1987年-现在， 美国数学会Mathematical Reviews评论员
1999年-现在， 欧洲数学会Zentralblatt fur Mathematik评论员
Current Research Areas:

Approximation Theory : n-widths, optimal Recovery
Numerical Analysis: information basis complexity, multi-dimensional quadrature, approximation solution of equations
Computational Mathematics: sampling Theorem, aliasing and truncation error
Grants :

Fang Gensun, Computational Complexity of Several important approximation problems of multivariate in different cases, NSFC( National Natural Since Foundation of China), No. 10371009, 2004-2006; RMB, 180,000, On going
Fang Gensun, Information Bases Complexity of Some Optimal Problems On Worst Case and Average Case, NSFC, No. 10071006, 2001-2003; RMB, 110,000, Completed
Sun Yongsheng, Fang Gensun, Liu Yongpin, Approximation of Multivariate Functions, NSFC, No. 19671012, 1997-1999; RMB, 110,000, 1997-1999, Completed
Sun Yongsheng, Fang Gensun, Liu Yongpin, Several extremal Problems in Approximation of Multivariate and Computational Complexity, NSFC, No. 19371013, 1994-1996; RMB 24,000, completed
Fang Gensun, Computational Complexity of Operator Equation, Since Foundation of High Education, 1994-1996, RMB 20,000, Completed
Sun Yongsheng, Fang Gensun, $N$-widths of smooth Classes of functions on Compact Sets and Optimal Recovery, NSFC, N0. 19371012, 1990-1992, RMB 17,000, Completed
Sun Yongsheng, Fang Gensun, Harmonic Analysis and Approximation of Functions, NSFC, No. 1860417, RMB, 15,000, Completed
1993年01月至1995年12月，国家教育部留学回国人员科研启动基金, RMB, 20,000, Completed
Papers after 1995

Chen Guanggui, Fang Gensun, Linear widths of a multivariate function space equipped with a Gaussian measure, Journal of Approximation Theory, 132(2005), 77-96.pdf

Fang Gensun, Ye Peixin, Complexity of deterministic and randomized methods for multivariate integration problem for the class Hp, IMA Journal of Numerical Analysis, On line.pdf
Fang Gensun, Li Xuehua, Comparison theorems of Kolmogorov type and exact values of n-widths on Hardy-Sobolev classes, Accepted by Mathematics of Computation.pdf
Fang Gensun, Li Xuehua, Optimal quadrature problem on Hardy-Sobolev classes, Journal of Complexity, 21 (2005), On line pdf
Gensun Fang, Fred J. Hickernell, and Huan Li, Approximation on anisotropic multivariate Besov classes of functions by standard information, Journal of Complexity, 21(2005), 294-313 pdf
Fang Gensun, Li Xuehua, Exact n-width on the class of analytic functions in the space of continuous unctions, to appear in Progress in Natural Science, 15 (2005) pdf
Chen Guanggui, Fang Gensun, Riesz Basis, complete interpolating sequence and multivariate irregular sampling theorem, East Journal of Approximation,11(2005), 1-12. dvi
Fang Gensun, Ye Peixin, Probabilistic and average linear widths of Sobolev space with Gaussian measure in L∞ norm, Constructive Approximation, 20 (2004), 159-172. pdf
Ma Wan, Fang Gensun, Optimization of adaptive direct method for approximate solution of ntegral equations, Acta Math Scientia, 24B (2004), 228-234. pdf
Chen Guanggui, Fang Gensun, Probabilistic and average widths of multivariate Sobolev spaces with mixed derivative equipped with the Gaussian measure, Journal of Complexity, 20(2004), 858-85. pdf
Fang Gensun, Long Jingfan, N-widths on the classes of multivariate bandlimited functions, Progress in Natural Science, 14(2004), 863-866. pdf
Fang Gensun, Ye Peixin, Integration error for multivariate functions from anisotropic classes, Journal of Complexity, 19(2003), 610-627. pdf
Fang Gensun, Ye Peixin, Probabilistic and average Linear widths of Sobolev with Gaussian measure, Journal of Complexity, 19(2003), 73-84. pdf
Chen Guanggui, Fang Gensun, The Discrete characterization of Paley-Wiener space with Several variables, Progress in Natural Science, 13(2003), No.4, 300-303.pdf
Long Jingfan, Fang Gensun, On uniform truncation error bounds and aliasing error for multidimensional sampling expansion, Sampling Theory in Signal and image Processing, (2003), 103-115.pdf
Fang Gensun, Ye Peixin, Adaptive widths of approximation functional on the Sobolev space with Gaussian measure, Progress in Natural Science, 44(2002), 1126-1131. pdf
Wan Ma, Fang Gensun, Theε-Complexity of the approximate solution of integral equations with Isotropic kernels, Acta Mathematica Sinica, English series, 18(2002), 679-686.pdf
Fang Gensun, The recovery of band limited functions via L-tempered splines, Est Journal On Approximation , 8(2002),421-436.dvi
Fang Gensun, Chen Xuedong, The recovery of functions of Paley-Wiener class from I irregular samplings, Acta Matematica Scientia (B), 22(2002), 466-472.dvi
Fang Gensun, Recovery of band limited functions via cardinal splines, Science in China (A), 44(2001), 1126--1131.pdf
Fang Gensun, Cardinal splines interpolation from H1 (Z) to L1(R), Proceedings of the American Mathematical Society, 128(2000), 2597-2601.pdf
Fang Gensun, Chen Xuedong, Equivalent characterization of entire functions of exponential type, Analysis Mathematica, 26(2000), 275-286.pdf
Fang Gensun, Long Jingfan, Riesz basis, Paley-Wiener class and tempered splines, Science in China (A), 43(2000), 275-286.pdf
Cheng Guanggui, Fang Gensun, Discrete characterization of Paley-Wiener space with several variables, Acta Mathematical application Sinica, 16(2000), 396--404.
Fang Gensun, Ma Wan, Optimization of adaptive direct methods for approximate solution of integral equations, Advances in Mathematics, 29（2000）, 464-468.
Long Jinfan, Fang Gensun, An application of the sampling theorem, Approx. Theory & its Appl. 15(1999), 84-98.
Fang Gensun, Nikolskii type inequality for cardinal splines, Science in China (A), 41(1998), 1272-1277.pdf
Fang Gensun, Recovery of functions via their irregular sampling values, Chinese Science Bulletin, 43(1998), 268-271.
Fang Gensun, On the Stability of interpolating sequence for entire functions, Acta Mathematicae Applicate Sinica, 21(1998), 513-518.(in Chinese).
Fang Gensun, The isomorphic of H1(Z) and ∩mSm,1(R), Chinese Annals of Mathematics, (Series A), 19(1998), 671-676. (in Chinese).
Fang Gensun, Whittaker-Kotelnikov-Shannon sampling theorem and Aliasing Error, J. Approx. Theory, 69(1996), 115-131.
Fang Gensun, Approximating properties of entire functions of exponential type, J. Math. Anal. And its Appl., 201(1996), 642-659.
Fang Gensun, The asymptotic connection between approximation by cardinal splines and entire functions of exponential type, Chinese Science Bulletin, 41(1996), 265-270.
Wang Jingjun & Fang Gensun, Multidimensional sampling theorem and estimate of aliasing error, Acta Math. Appl. Sinica, 19(1996), 481-488. (in Chinese)
Fang Gensun, Average Widths of WrHω in C(R), J. of Complexity, 11(1995), 461-473
Fang Gensun, Complexity on The Class of Fredholm Equitation with kernels of bounded mixed derivative, Science in China (A), 25(1995), 1019-1028.(in Chinese)
Sun Yongsheng, Fang Gensun, Theory of Approximation, Vol. II, Beijing Normal University press, 1990. (in Chinese)
　

Links:

Beijing Normal University
American Mathematical Society