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Volumn 24, Issue 2, 2006, Pages 175-186

Sobolev error estimates and a bernstein inequality for scattered data interpolation via radial basis functions

Author keywords

Band limited functions; Bernstein inequality; Error estimates; Radial basis functions; Scattered data

Indexed keywords


EID: 33745292987     PISSN: 01764276     EISSN: 14320940     Source Type: Journal    
DOI: 10.1007/s00365-005-0624-7     Document Type: Article
Times cited : (128)

References (17)
  • 3
    • 4043109241 scopus 로고    scopus 로고
    • Approximation orders for interpolation by surface splines to rough functions
    • R. A. BROWNLEE, W. LIGHT (2004): Approximation orders for interpolation by surface splines to rough functions. IMA J. Numer. Anal., 24:179-192.
    • (2004) IMA J. Numer. Anal. , vol.24 , pp. 179-192
    • Brownlee, R.A.1    Light, W.2
  • 6
    • 84966244353 scopus 로고
    • Multivariate interpolation and conditionally positive definite functions. II
    • W. R. MADYCH, S. A. NELSON (1990): Multivariate interpolation and conditionally positive definite functions. II. Math. Comp., 54:211-230.
    • (1990) Math. Comp. , vol.54 , pp. 211-230
    • Madych, W.R.1    Nelson, S.A.2
  • 7
    • 17444404537 scopus 로고    scopus 로고
    • Recent developments in error estimates for scattered-data interpolation via radial basis functions
    • F. J. NARCOWICH (2005): Recent developments in error estimates for scattered-data interpolation via radial basis functions. Numer. Algorithms, 39:307-315.
    • (2005) Numer. Algorithms , vol.39 , pp. 307-315
    • Narcowich, F.J.1
  • 8
    • 33746131152 scopus 로고
    • On condition numbers associated with radial-function interpolation
    • F. J. NARCOWICH, N. SIVAKUMAR, J. D. WARD (1994): On condition numbers associated with radial-function interpolation. J. Math. Anal. Appl., 186:457-485.
    • (1994) J. Math. Anal. Appl. , vol.186 , pp. 457-485
    • Narcowich, F.J.1    Sivakumar, N.2    Ward, J.D.3
  • 9
    • 0040146904 scopus 로고
    • Norms of inverses and condition numbers for matrices associated with scattered data
    • F. J. NARCOWICH, J. D. WARD (1991): Norms of inverses and condition numbers for matrices associated with scattered data. J. Approx. Theory, 64:69-94.
    • (1991) J. Approx. Theory , vol.64 , pp. 69-94
    • Narcowich, F.J.1    Ward, J.D.2
  • 10
    • 38249012211 scopus 로고
    • Norm estimates for the inverse of a general class of scattered-data radial-function interpolation matrices
    • F. J. NARCOWICH, J. D. WARD (1992): Norm estimates for the inverse of a general class of scattered-data radial-function interpolation matrices. J. Approx. Theory, 69:84-109.
    • (1992) J. Approx. Theory , vol.69 , pp. 84-109
    • Narcowich, F.J.1    Ward, J.D.2
  • 11
    • 0036433867 scopus 로고    scopus 로고
    • Scattered-data interpolation on spheres: Error estimates and locally supported basis functions
    • F. J. NARCOWICH, J. D. WARD (2002): Scattered-data interpolation on spheres: error estimates and locally supported basis functions. SIAM J. Math. Anal., 33:1393-1410.
    • (2002) SIAM J. Math. Anal. , vol.33 , pp. 1393-1410
    • Narcowich, F.J.1    Ward, J.D.2
  • 12
    • 14544277941 scopus 로고    scopus 로고
    • n: Error estimates for radial basis and band-limited functions
    • n: Error estimates for radial basis and band-limited functions. SIAM J. Math. Anal., 36:284-300.
    • (2004) SIAM J. Math. Anal. , vol.36 , pp. 284-300
    • Narcowich, F.J.1    Ward, J.D.2
  • 13
    • 17444409728 scopus 로고    scopus 로고
    • Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting
    • to appear
    • F. J. NARCOWICH, J. D. WARD, H. WENDLAND (to appear): Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting. Math. Comp.
    • Math. Comp.
    • Narcowich, F.J.1    Ward, J.D.2    Wendland, H.3
  • 14
    • 0030503790 scopus 로고    scopus 로고
    • Approximation by radial basis functions with finite many centers
    • R. SCHABACK (1996): Approximation by radial basis functions with finite many centers. Constr. Approx., 12:331-340.
    • (1996) Constr. Approx. , vol.12 , pp. 331-340
    • Schaback, R.1
  • 16
    • 14544290310 scopus 로고
    • Local error estimates for radial basis function interpolation of scattered data
    • Z. Wu, R. SCHABACK (1993): Local error estimates for radial basis function interpolation of scattered data. IMA J. Numer. Anal., 13:13-27.
    • (1993) IMA J. Numer. Anal. , vol.13 , pp. 13-27
    • Wu, Z.1    Schaback, R.2
  • 17
    • 0035556014 scopus 로고    scopus 로고
    • Spectral approximation orders of radial basis functions interpolation on the Sobolev space
    • J. YOON (2001): Spectral approximation orders of radial basis functions interpolation on the Sobolev space. SIAM J. Math. Anal., 33:946-968.
    • (2001) SIAM J. Math. Anal. , vol.33 , pp. 946-968
    • Yoon, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.