메뉴 건너뛰기




Volumn 29, Issue 1, 2009, Pages 61-84

Power series kernels

Author keywords

Bernstein theorem; Convergence orders; Dot product kernels; Error bounds; Multivariate polynomial approximation; Reproducing kernel Hilbert spaces

Indexed keywords


EID: 57649198656     PISSN: 01764276     EISSN: 14320940     Source Type: Journal    
DOI: 10.1007/s00365-008-9012-4     Document Type: Article
Times cited : (41)

References (19)
  • 1
    • 0002567674 scopus 로고
    • Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation
    • W. Madych S. Nelson 1992 Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation J. Approx. Theory 70 94 114
    • (1992) J. Approx. Theory , vol.70 , pp. 94-114
    • Madych, W.1    Nelson, S.2
  • 2
    • 0000663580 scopus 로고
    • On multivariate polynomial interpolation
    • C. de Boor A. Ron 1990 On multivariate polynomial interpolation Constr. Approx. 6 287 302
    • (1990) Constr. Approx. , vol.6 , pp. 287-302
    • De Boor, C.1    Ron, A.2
  • 3
    • 21244456148 scopus 로고    scopus 로고
    • Interpolation by polynomials and radial basis functions
    • R. Schaback 2005 Interpolation by polynomials and radial basis functions Constr. Approx. 21 293 317
    • (2005) Constr. Approx. , vol.21 , pp. 293-317
    • Schaback, R.1
  • 4
    • 0036467951 scopus 로고    scopus 로고
    • Interpolation in the limit of increasingly flat radial basis functions
    • T. Driscoll B. Fornberg 2002 Interpolation in the limit of increasingly flat radial basis functions Comput. Math. Appl. 43 413 422
    • (2002) Comput. Math. Appl. , vol.43 , pp. 413-422
    • Driscoll, T.1    Fornberg, B.2
  • 8
    • 12944249311 scopus 로고    scopus 로고
    • Positive definite dot product kernels in learning theory
    • F. Lu H. Sun 2005 Positive definite dot product kernels in learning theory Adv. Comput. Math. 22 181 198
    • (2005) Adv. Comput. Math. , vol.22 , pp. 181-198
    • Lu, F.1    Sun, H.2
  • 13
    • 84942484786 scopus 로고
    • Ridge regression: Biased estimation for nonorthogonal problems
    • A. Hoerl R. Kennrad 1970 Ridge regression: biased estimation for nonorthogonal problems Technometrics 12 55 67
    • (1970) Technometrics , vol.12 , pp. 55-67
    • Hoerl, A.1    Kennrad, R.2
  • 15
    • 18144390163 scopus 로고    scopus 로고
    • Learning with generalization capability by kernel methods of bounded complexity
    • V. Kurkova M. Sanguineti 2005 Learning with generalization capability by kernel methods of bounded complexity J. Complex. 21 350 367
    • (2005) J. Complex. , vol.21 , pp. 350-367
    • Kurkova, V.1    Sanguineti, M.2
  • 16
    • 57649159486 scopus 로고    scopus 로고
    • Approximate interpolation
    • H. Wendland C. Rieger 2005 Approximate interpolation Numer. Math. 101 643 662
    • (2005) Numer. Math. , vol.101 , pp. 643-662
    • Wendland, H.1    Rieger, C.2
  • 19
    • 0036013533 scopus 로고    scopus 로고
    • Inverse and saturation theorems for radial basis function interpolation
    • R. Schaback H. Wendland 2002 Inverse and saturation theorems for radial basis function interpolation Math. Comput. 71 669 681
    • (2002) Math. Comput. , vol.71 , pp. 669-681
    • Schaback, R.1    Wendland, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.