SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Journal of Approximation Theory

Volumn 164, Issue 5, 2012, Pages 572-585

The existence of Gaussian cubature formulas

(1) Lasserre, Jean B a

a LAAS CNRS (France)

Author keywords

Gaussian cubature formulas; Orthogonal polynomials

Indexed keywords

EID: 84858227002 PISSN: 00219045 EISSN: 10960430 Source Type: Journal
DOI: 10.1016/j.jat.2012.01.004 Document Type: Article

Times cited : (9)

References (17)

1
- 33749515285
- The proof of Tchakaloff's theorem
- Bayer C., Teichmann J. The proof of Tchakaloff's theorem. Proc. Amer. Math. Soc. 2006, 134:3035-3040.
- (2006) Proc. Amer. Math. Soc. , vol.134 , pp. 3035-3040
- Bayer, C.¹ Teichmann, J.²

2
- 0035154660
- Cubature formulae and orthogonal polynomials
- Cools R., Mysovskikh I.P., Schmid H.J. Cubature formulae and orthogonal polynomials. J. Comput. Appl. Math. 2001, 127:121-152.
- (2001) J. Comput. Appl. Math. , vol.127 , pp. 121-152
- Cools, R.¹ Mysovskikh, I.P.² Schmid, H.J.³

3
- 21944445317
- Flat Extensions of Positive Moment Matrices: Recursively Generated Relations
- AMS, Providence
- Curto R.E., Fialkow L.A. Flat Extensions of Positive Moment Matrices: Recursively Generated Relations. Memoirs. Amer. Math. Soc. 1998, vol. 136. AMS, Providence.
- (1998) Memoirs. Amer. Math. Soc. , vol.136
- Curto, R.E.¹ Fialkow, L.A.²

4
- 23044517911
- The truncated K-moment problem
- 136, AMS
- Curto R.E., Fialkow L.A. The truncated K-moment problem. Trans. Amer. Math. Soc. 1998, 352:2825-2855. 136, AMS.
- (1998) Trans. Amer. Math. Soc. , vol.352 , pp. 2825-2855
- Curto, R.E.¹ Fialkow, L.A.²

5
- 39549105165
- The extremal truncated moment problem
- Curto R.E., Fialkow L.A., Möller M. The extremal truncated moment problem. Integral Equations Operator Theory 2008, 60:177-200.
- (2008) Integral Equations Operator Theory , vol.60 , pp. 177-200
- Curto, R.E.¹ Fialkow, L.A.² Möller, M.³

6
- 84952652748
- Cambridge University Press, Cambridge
- Dunkl C.F., Xu Y. Orthogonal Polynomials of Several Variables 2001, Cambridge University Press, Cambridge.
- (2001) Orthogonal Polynomials of Several Variables
- Dunkl, C.F.¹ Xu, Y.²

7
- 52049084329
- Measures with zeros in the inverse of their moment matrix
- Helton J.W., Lasserre J.B., Putinar M. Measures with zeros in the inverse of their moment matrix. Ann. Probab. 2008, 36:1453-1471.
- (2008) Ann. Probab. , vol.36 , pp. 1453-1471
- Helton, J.W.¹ Lasserre, J.B.² Putinar, M.³

8
- 26444549416
- Revisiting two theorems of Curto and Fialkow on moment matrices
- Laurent M. Revisiting two theorems of Curto and Fialkow on moment matrices. Proc. Amer. Math. Soc. 2005, 133:2965-2976.
- (2005) Proc. Amer. Math. Soc. , vol.133 , pp. 2965-2976
- Laurent, M.¹

9
- 79251493669
- Imperial College Press, London
- Lasserre J.B. Moments, Positive Polynomials and their Applications 2009, Imperial College Press, London.
- (2009) Moments, Positive Polynomials and their Applications
- Lasserre, J.B.¹

10
- 55349132404
- Discrete Fourier analysis, cubature and interpolation on a hexagon and a triangle
- Li H., Sun J., Xu Y. Discrete Fourier analysis, cubature and interpolation on a hexagon and a triangle. SIAM J. Numer. Anal. 2008, 46:1653-1681.
- (2008) SIAM J. Numer. Anal. , vol.46 , pp. 1653-1681
- Li, H.¹ Sun, J.² Xu, Y.³

11
- 0000561999
- Kubaturformeln mi minimaler Knotenzahl
- Möller H.M. Kubaturformeln mi minimaler Knotenzahl. Numer. Math. 1976, 25:185-200.
- (1976) Numer. Math. , vol.25 , pp. 185-200
- Möller, H.M.¹

12
- 33748961917
- An inverse problem for cubature formulae
- Möller H.M. An inverse problem for cubature formulae. Comput. Technol. 2004, 9:13-20.
- (2004) Comput. Technol. , vol.9 , pp. 13-20
- Möller, H.M.¹

13
- 33748967726
- On square positive extensions and cubature formulas
- Möller H.M. On square positive extensions and cubature formulas. J. Comput. Appl. Math. 2006, 199:80-88.
- (2006) J. Comput. Appl. Math. , vol.199 , pp. 80-88
- Möller, H.M.¹

14
- 21744461770
- A note on Tchakaloff's theorem
- Putinar M. A note on Tchakaloff's theorem. Proc. Amer. Math. Soc. 1997, 125:2409-2414.
- (1997) Proc. Amer. Math. Soc. , vol.125 , pp. 2409-2414
- Putinar, M.¹

15
- 0034357412
- A dilation theory approach to cubature formulas. II
- Putinar M. A dilation theory approach to cubature formulas. II. Math. Nachr. 2000, 211:159-175.
- (2000) Math. Nachr. , vol.211 , pp. 159-175
- Putinar, M.¹

16
- 0000650242
- Zur mechanischen Kubatur
- Radon J. Zur mechanischen Kubatur. Monatsh. Math. 1948, 52:286-300.
- (1948) Monatsh. Math. , vol.52 , pp. 286-300
- Radon, J.¹

17
- 84966200337
- On bivariable Gaussian cubature formulae
- Schmid H., Xu Y. On bivariable Gaussian cubature formulae. Proc. Amer. Math. Soc. 1994, 122:833-842.
- (1994) Proc. Amer. Math. Soc. , vol.122 , pp. 833-842
- Schmid, H.¹ Xu, Y.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.