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1

Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces

Shun Zhang, Gensun Fang

Journal:

Journal of Complexity

Year:

2012

Language:

english

File:

PDF, 274 KB

english, 2012

2

Approximating Properties of Entire Functions of Exponential Type

Journal:

Journal of Mathematical Analysis and Applications

Year:

1996

Language:

english

File:

PDF, 203 KB

english, 1996

3

Whittaker–Kotelnikov–Shannon Sampling Theorem and Aliasing Error

Journal:

Journal of Approximation Theory

Year:

1996

Language:

english

File:

PDF, 780 KB

english, 1996

4

Multivariate irregular sampling theorem

GuangGui Chen, GenSun Fang

Journal:

Science China Mathematics

Year:

2009

Language:

english

File:

PDF, 664 KB

english, 2009

5

Average Widths of WrHω in C(R)

Journal:

Journal of Complexity

Year:

1995

File:

PDF, 307 KB

1995

6

On the optimal quadrature least L∞-norm of monosplines with free knots on the real axis

Fang Gensun, Liu Yongping

Journal:

Journal of Complexity

Year:

1992

Language:

english

File:

PDF, 807 KB

english, 1992

7

Linear widths of a multivariate function space equipped with a Gaussian measure

Chen Guanggui, Fang Gensun

Journal:

Journal of Approximation Theory

Year:

2005

Language:

english

File:

PDF, 284 KB

english, 2005

8

Approximation characteristics for diagonal operators in different computational settings

Fang Gensun, Qian Lixin

Journal:

Journal of Approximation Theory

Year:

2006

Language:

english

File:

PDF, 195 KB

english, 2006

9

Approximation on anisotropic Besov classes with mixed norms by standard information

Gensun Fang, Fred J. Hickernell, Huan Li

Journal:

Journal of Complexity

Year:

2005

Language:

english

File:

PDF, 298 KB

english, 2005

10

Optimal quadrature problem on Hardy–Sobolev classes

Fang Gensun, Li Xuehua

Journal:

Journal of Complexity

Year:

2005

Language:

english

File:

PDF, 272 KB

english, 2005

11

The complexity of function approximation on Sobolev spaces with bounded mixed derivative by linear Monte Carlo methods

Gensun Fang, Liqin Duan

Journal:

Journal of Complexity

Year:

2008

Language:

english

File:

PDF, 190 KB

english, 2008

12

Tractability of multivariate integration problem for periodic continuous functions

Fang Gensun, Long Jingfan

Journal:

Acta Mathematica Scientia

Year:

2007

Language:

english

File:

PDF, 212 KB

english, 2007

13

Integration error for multivariate functions from anisotropic classes

Fang Gensun, Ye Peixin

Journal:

Journal of Complexity

Year:

2003

Language:

english

File:

PDF, 220 KB

english, 2003

14

Probabilistic and average linear widths of Sobolev space with Gaussian measure

Fang Gensun, Ye Peixin

Journal:

Journal of Complexity

Year:

2003

Language:

english

File:

PDF, 155 KB

english, 2003

15

Discrete characterization of the Paley-Wiener space with several variables

Chen Guanggui, Fang Gensun

Journal:

Acta Mathematicae Applicatae Sinica, English Series

Year:

2000

Language:

english

File:

PDF, 386 KB

english, 2000

16

On truncation error bound for multidimensional sampling expansion laplace transform

Long Jingfan, Fang Gensun

Journal:

Analysis in Theory and Applications

Year:

2004

Language:

english

File:

PDF, 223 KB

english, 2004

17

An application of the sampling theorem

Long Jingfan, Fang Gensun

Journal:

Analysis in Theory and Applications

Year:

1999

Language:

english

File:

PDF, 204 KB

english, 1999

18

Recovery of band limited functions via cardinal splines

Journal:

Science China Mathematics

Year:

2001

Language:

english

File:

PDF, 253 KB

english, 2001

19

Nikolskii type inequality for cardinal splines

Journal:

Science China Mathematics

Year:

1998

Language:

english

File:

PDF, 264 KB

english, 1998

20

Recovery of functions via their irregular sampling values

Journal:

Chinese Science Bulletin

Year:

1998

Language:

english

File:

PDF, 264 KB

english, 1998

21

Riesz basis, Paley-Wiener class and tempered splines

Gensun Fang, Jingfan Long

Journal:

Science China Mathematics

Year:

2000

Language:

english

File:

PDF, 449 KB

english, 2000

22

Optimal quadrature problem on classes defined by kernels satisfying certain oscillation properties

Gensun Fang, Xuehua Li

Journal:

Numerische Mathematik

Year:

2006

Language:

english

File:

PDF, 303 KB

english, 2006

23

Probabilistic and Average Linear Widths of Sobolev Space with Gaussian Measure inLinfty-Norm

Fang Gensun, Ye Peixin

Journal:

Constructive Approximation

Year:

2003

Language:

english

File:

PDF, 198 KB

english, 2003

24

Probabilistic Adaptive Width of a Multivariate Sobolev Space Equipped with a Gaussian Measure

Chen Guanggui, Fang Gensun

Journal:

Constructive Approximation

Year:

2006

Language:

english

File:

PDF, 214 KB

english, 2006

25

Comparison Theorems of Kolmogorov Type for Classes Defined by Cyclic Variation Diminishing Operators and Their Application

Fang Gensun, Li Xuehua

Journal:

Constructive Approximation

Year:

2008

Language:

english

File:

PDF, 238 KB

english, 2008

26

Optimal algorithms for diagonal operators onN-widths in different computational setting

Gensun Fang, Lixin Qian

Journal:

Analysis in Theory and Applications

Year:

2007

Language:

english

File:

PDF, 97 KB

english, 2007

27

The information-based complexity of approximation problem by adaptive Monte Carlo methods

GenSun Fang, LiQin Duan

Journal:

Science China Mathematics

Year:

2008

Language:

english

File:

PDF, 238 KB

english, 2008

28

Linear average and stochastic n-widths of Besov embeddings on Lipschitz domains

Gensun Fang, Lixin Qian

Journal:

Journal of Approximation Theory

Year:

2009

Language:

english

File:

PDF, 609 KB

english, 2009

29

Probabilistic and average widths of multivariate Sobolev spaces with mixed derivative equipped with the Gaussian measure

Chen Guanggui, Fang Gensun

Journal:

Journal of Complexity

Year:

2004

Language:

english

File:

PDF, 288 KB

english, 2004

30

Equivalent Characterization of Entire Functions of Exponential Type

Gensun Fang, Xuedong Chen

Journal:

Analysis Mathematica

Year:

2000

Language:

english

File:

PDF, 210 KB

english, 2000

31

Widths of embeddings in weighted function spaces

Zhang, Shun, Fang, Gensun

Journal:

Journal of Approximation Theory

Year:

2013

Language:

english

File:

PDF, 293 KB

english, 2013

32

Some -numbers of embeddings in function spaces with polynomial weights

Zhang, Shun, Fang, Gensun, Huang, Fanglun

Journal:

Journal of Complexity

Year:

2014

Language:

english

File:

PDF, 416 KB

english, 2014

33

Widths of embeddings of 2-microlocal Besov spaces

Zhang, Shun, Fang, Gensun

Journal:

Journal of Approximation Theory

Year:

2014

Language:

english

File:

PDF, 413 KB

english, 2014

34

The uniqueness of optimal quadrature formula and optimal interpolation knots with multiplicities in L1

Huang Daren,Fang Gensun

Journal:

Analysis in Theory and Applications

Year:

1990

Language:

english

File:

PDF, 501 KB

english, 1990

35

One-sided N-widths of some classes of periodic functions

Fang Gensun,Zhang Jianhua

Journal:

Analysis in Theory and Applications

Year:

1993

Language:

english

File:

PDF, 462 KB

english, 1993

36

Cardinal Spline Interpolation from H1( Z) to L1( R)

Journal:

Proceedings of the American Mathematical Society

Year:

2000

Language:

english

File:

PDF, 180 KB

english, 2000

37

Comparison Theorems of Kolmogorov Type and Exact Values of n-Widths on Hardy-Sobolev Classes

Gensun Fang and Xuehua Li

Journal:

Mathematics of Computation

Year:

2006

Language:

english

File:

PDF, 458 KB

english, 2006

38

N -widths on the classes of multivariate bandlimited functions *

Fang, Gensun, Long, Jingfan

Journal:

Progress in Natural Science

Year:

2004

Language:

english

File:

PDF, 430 KB

english, 2004

39

Discrete nature of multivariate Paley-Wiener space*

Chen, Guanggui, Fang, Gensun

Journal:

Progress in Natural Science

Year:

2003

Language:

english

File:

PDF, 356 KB

english, 2003

40

Exact n-width on the class of analytic functions in the space of continuous functions

Gensun, Fang, Xuehua, Li

Journal:

Progress in Natural Science

Year:

2005

Language:

english

File:

PDF, 431 KB

english, 2005

41

10.1090/s0002-9939-00-05290-4

Journal:

Proceedings of the American Mathematical Society

Year:

2000

Language:

english

File:

PDF, 137 KB

english, 2000

42

COMPUTATIONAL COMPLEXITY IN WORST, STOCHASTIC AND AVERAGE CASE SETTING ON FUNCTIONAL APPROXIMATION PROBLEM OF MULTIVARIATE

Fang, Gensun, Ye, Peixin

Journal:

Acta Mathematica Scientia

Year:

2005

Language:

english

File:

PDF, 1.05 MB

english, 2005

43

OPTIMAL QUADRATURE OF THE SOBOLEV CLASS W1r(R) DEFINED ON WHOLE REAL AXIS

Fang, Gensun, Liu, Yongping

Journal:

Acta Mathematica Scientia

Year:

1996

Language:

english

File:

PDF, 647 KB

english, 1996

44

THE RECOVERY OF FUNCTIONS OF PALEY-WIENER CLASS FROM IRREGULAR SAMPLINGS

Fang, Gensun, Chen, Xuedong

Journal:

Acta Mathematica Scientia

Year:

2002

Language:

english

File:

PDF, 334 KB

english, 2002

45

OPTIMAL QUADRATURE OF THE SOBOLEV CLASS W1r(R) DEFINED ON WHOLE REAL AXIS

Fang, Gensun, Liu, Yongping

Journal:

Acta Mathematica Scientia

Year:

1996

File:

PDF, 647 KB

1996

46

OPTIMIZATION OF ADAPTIVE DIRECT METHOD FOR APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS OF SEVERAL VARIABLES

Ma, Wan, Fang, Gensun

Journal:

Acta Mathematica Scientia

Year:

2004

Language:

english

File:

PDF, 842 KB

english, 2004

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