Home Page of Gensun Fang

　

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 :

    1. 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
    2. Fang Gensun, Information Bases Complexity of Some Optimal Problems On Worst Case and Average Case, NSFC, No. 10071006, 2001-2003; RMB, 110,000, Completed
    3. Sun Yongsheng, Fang Gensun, Liu Yongpin, Approximation of Multivariate Functions, NSFC, No. 19671012, 1997-1999; RMB, 110,000, 1997-1999, Completed
    4. 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
    5. Fang Gensun, Computational Complexity of Operator Equation, Since Foundation of High Education, 1994-1996, RMB 20,000, Completed
    6. 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
    7. Sun Yongsheng, Fang Gensun, Harmonic Analysis and Approximation of Functions, NSFC, No. 1860417, RMB, 15,000, Completed
    8. 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

      1. 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

      2. 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
      3. 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
      4. Fang Gensun, Li Xuehua, Optimal quadrature problem on Hardy-Sobolev classes, Journal of Complexity, 21 (2005), On line pdf
      5. 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
      6. 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
      7. Chen Guanggui, Fang Gensun, Riesz Basis, complete interpolating sequence and multivariate irregular sampling theorem, East Journal of Approximation,11(2005), 1-12. dvi
      8. 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
      9. Ma Wan, Fang Gensun, Optimization of adaptive direct method for approximate solution of ntegral equations, Acta Math Scientia, 24B (2004), 228-234. pdf
      10. 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
      11. Fang Gensun, Long Jingfan, N-widths on the classes of multivariate bandlimited functions, Progress in Natural Science, 14(2004), 863-866. pdf
      12. Fang Gensun, Ye Peixin, Integration error for multivariate functions from anisotropic classes, Journal of Complexity, 19(2003), 610-627. pdf
      13. Fang Gensun, Ye Peixin, Probabilistic and average Linear widths of Sobolev with Gaussian measure, Journal of Complexity, 19(2003), 73-84. pdf
      14. 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
      15. 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
      16. 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
      17. 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
      18. Fang Gensun, The recovery of band limited functions via L-tempered splines, Est Journal On Approximation , 8(2002),421-436.dvi
      19. 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
      20. Fang Gensun, Recovery of band limited functions via cardinal splines, Science in China (A), 44(2001), 1126--1131.pdf
      21. Fang Gensun, Cardinal splines interpolation from H1 (Z) to L1(R), Proceedings of the American Mathematical Society, 128(2000), 2597-2601.pdf
      22. Fang Gensun, Chen Xuedong, Equivalent characterization of entire functions of exponential type, Analysis Mathematica, 26(2000), 275-286.pdf
      23. Fang Gensun, Long Jingfan, Riesz basis, Paley-Wiener class and tempered splines, Science in China (A), 43(2000), 275-286.pdf
      24. Cheng Guanggui, Fang Gensun, Discrete characterization of Paley-Wiener space with several variables, Acta Mathematical application Sinica, 16(2000), 396--404.
      25. Fang Gensun, Ma Wan, Optimization of adaptive direct methods for approximate solution of integral equations, Advances in Mathematics, 29（2000）, 464-468.
      26. Long Jinfan, Fang Gensun, An application of the sampling theorem, Approx. Theory & its Appl. 15(1999), 84-98.
      27. Fang Gensun, Nikolskii type inequality for cardinal splines, Science in China (A), 41(1998), 1272-1277.pdf
      28. Fang Gensun, Recovery of functions via their irregular sampling values, Chinese Science Bulletin, 43(1998), 268-271.
      29. Fang Gensun, On the Stability of interpolating sequence for entire functions, Acta Mathematicae Applicate Sinica, 21(1998), 513-518.(in Chinese).
      30. Fang Gensun, The isomorphic of H1(Z) and ∩mSm,1(R), Chinese Annals of Mathematics, (Series A), 19(1998), 671-676. (in Chinese).
      31. Fang Gensun, Whittaker-Kotelnikov-Shannon sampling theorem and Aliasing Error, J. Approx. Theory, 69(1996), 115-131.
      32. Fang Gensun, Approximating properties of entire functions of exponential type, J. Math. Anal. And its Appl., 201(1996), 642-659.
      33. Fang Gensun, The asymptotic connection between approximation by cardinal splines and entire functions of exponential type, Chinese Science Bulletin, 41(1996), 265-270.
      34. Wang Jingjun & Fang Gensun, Multidimensional sampling theorem and estimate of aliasing error, Acta Math. Appl. Sinica, 19(1996), 481-488. (in Chinese)
      35. Fang Gensun, Average Widths of WrHω in C(R), J. of Complexity, 11(1995), 461-473
      36. 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)
      37. Sun Yongsheng, Fang Gensun, Theory of Approximation, Vol. II, Beijing Normal University press, 1990. (in Chinese)

      　

      Links:

      1. Beijing Normal University
      2. American Mathematical Society