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Volumn 36, Issue 2, 1993, Pages 319-333

Spectral convergence of multiquadric interpolation

(2)  Buhmann, Martin a   Dyn, Nira a  

a NONE

Author keywords

1991 Mathematics subject classification; 41A05; 41A25; 41A30; 41A63

Indexed keywords


EID: 84975945910     PISSN: 00130915     EISSN: 14643839     Source Type: Journal    
DOI: 10.1017/S0013091500018411     Document Type: Article
Times cited : (76)

References (15)
  • 2
    • 0039433605 scopus 로고
    • Multivariable Interpolation using Radial Basis Functions
    • Ph.D. Dissertation, University of Cambridge
    • M. D. Buhmann, Multivariable Interpolation using Radial Basis Functions (Ph.D. Dissertation, University of Cambridge, 1989).
    • (1989)
    • Buhmann, M.D.1
  • 3
    • 0002851869 scopus 로고
    • Multivariate interpolation in odd-dimensional Euclidean spaces using multiquadrics
    • M. D. Buhmann, Multivariate interpolation in odd-dimensional Euclidean spaces using multiquadrics, Constr. Approx. 6 (1990), 21–34.
    • (1990) Constr. Approx. , vol.6 , pp. 21-34
    • Buhmann, M.D.1
  • 4
    • 0000098430 scopus 로고
    • Multivariate cardinal interpolation with radial-basis functions
    • M. D. Buhmann, Multivariate cardinal interpolation with radial-basis functions, Constr. Approx. 6 (1990), 225–255.
    • (1990) Constr. Approx. , vol.6 , pp. 225-255
    • Buhmann, M.D.1
  • 5
    • 80054801929 scopus 로고    scopus 로고
    • Dyn, Error estimates for multiquadric interpolation, in
    • buhmann and N. (P.-J. Laurent, A. LeMehaute, L. L. Schumaker, eds., Academic Press, New York, 1991)
    • M. d. buhmann and N. dyn, Error estimates for multiquadric interpolation, in Curves and Surfaces (P.-J. Laurent, A. LeMehaute, L. L. Schumaker, eds., Academic Press, New York, 1991), 51–58.
    • Curves and Surfaces , pp. 51-58
  • 6
    • 0000463437 scopus 로고    scopus 로고
    • Interpolation and approximation by radial and related functions
    • C. K. Chui, L. L. Schumaker, J. D. Ward, eds., Academic Press, 1989)
    • N. Dyn, Interpolation and approximation by radial and related functions, in Approximation Theory VI (C. K. Chui, L. L. Schumaker, J. D. Ward, eds., Academic Press, 1989), 211–234.
    • Approximation Theory VI , pp. 211-234
    • Dyn, N.1
  • 7
    • 0001467606 scopus 로고
    • Local approximation by certain spaces of exponential polynomials, approximation order of exponential box splines, and related interpolation problems
    • N. Dyn And A. Ron, Local approximation by certain spaces of exponential polynomials, approximation order of exponential box splines, and related interpolation problems, Trans. Amer. Math. Soc. 319 (1990), 381-403.
    • (1990) Trans. Amer. Math. Soc. , vol.319 , pp. 381-403
    • Dyn, N.1    Ron, A.2
  • 8
    • 84976012234 scopus 로고    scopus 로고
    • Complete monotonicity of modified Bessel functions (ICM-Report
    • University of South Florida, 1988).
    • M. E. H. Ismail, Complete monotonicity of modified Bessel functions (ICM-Report 88–013, University of South Florida, 1988).
    • Ismail, M.E.H.1
  • 9
    • 0003436764 scopus 로고
    • The Theory of Generalized Functions
    • (Cambridge University Press, Cambridge
    • D. S. Jones, The Theory of Generalized Functions (Cambridge University Press, Cambridge, 1982).
    • (1982)
    • Jones, D.S.1
  • 10
    • 0002463043 scopus 로고
    • Quasi-interpolation with translates of a function having non-compact support
    • W. A. Light And E. W. Cheney, Quasi-interpolation with translates of a function having non-compact support, Constr. Approx. 8 (1992), 35–48.
    • (1992) Constr. Approx. , vol.8 , pp. 35-48
    • Light, W.A.1    Cheney, E.W.2
  • 11
    • 0008015689 scopus 로고    scopus 로고
    • Error bounds for multiquadric interpolation, in
    • (C. K. Chui, L. L. Schumaker, J. D. Ward, eds., Academic Press, 1989)
    • W. R. Madych And S. A. Nelson, Error bounds for multiquadric interpolation, in Approximation Theory VI (C. K. Chui, L. L. Schumaker, J. D. Ward, eds., Academic Press, 1989), 413–416.
    • Approximation Theory VI , pp. 413-416
    • Madych, W.R.1    Nelson, S.A.2
  • 12
    • 84966244353 scopus 로고
    • Multivariate interpolation and conditionally positive definite functions II
    • W. R. Madych And S. A. Nelson, Multivariate interpolation and conditionally positive definite functions II, Math. Comp. 54 (1990), 211–230.
    • (1990) Math. Comp. , vol.54 , pp. 211-230
    • Madych, W.R.1    Nelson, S.A.2
  • 13
    • 0004300554 scopus 로고
    • Advances in Numerical Analysis II
    • The theory of radial basis function approximation in (W. A. Light, ed., Clarendon Press, Oxford, 1992)
    • M. J. D. Powell, The theory of radial basis function approximation in 1990, in Advances in Numerical Analysis II (W. A. Light, ed., Clarendon Press, Oxford, 1992), 105–210.
    • (1990) , pp. 105-210
    • Powell, M.J.D.1
  • 14
    • 0003517185 scopus 로고    scopus 로고
    • Introduction to Fourier Analysis on Euclidean Spaces
    • (Princeton University Press, Princeton, 1971).
    • E. M. Stein And G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces (Princeton University Press, Princeton, 1971).
    • Stein, E.M.1    Weiss, G.2
  • 15
    • 84975968963 scopus 로고
    • Local error estimates for radial basis function interpolation of scattered data (Report University of Gottingen
    • Z. Wu And R. Schaback, Local error estimates for radial basis function interpolation of scattered data (Report University of Gottingen, 1990).
    • (1990)
    • Wu, Z.1    Schaback, R.2


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