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Volumn 187, Issue 1 SPEC. ISS., 2007, Pages 306-314

Lebesgue function for multivariate interpolation by radial basis functions

Author keywords

Erd s and Bernstein conjecture; Lagrange form; Lebesgue function; Multivariate interpolation; Radial basis functions

Indexed keywords

INTERPOLATION; MULTIVARIABLE SYSTEMS; PROBLEM SOLVING; RADIAL BASIS FUNCTION NETWORKS;

EID: 34247357722     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.08.127     Document Type: Article
Times cited : (7)

References (10)
  • 1
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    • n(x) de degri n sur tout un segment par ses valeurs en n + 1 points du segment
    • (Collected works, v. 2, The Constructive Theory of Functions (1931-1953), Izdat. Akad. Nauk SSSR, 1954)
    • n(x) de degri n sur tout un segment par ses valeurs en n + 1 points du segment. Izvestiia Akademii Nauk SSSR 8 (1931) 1025-1050 (Collected works, v. 2, The Constructive Theory of Functions (1931-1953), Izdat. Akad. Nauk SSSR, 1954)
    • (1931) Izvestiia Akademii Nauk SSSR , vol.8 , pp. 1025-1050
    • Bernstein, S.N.1
  • 2
    • 0001688405 scopus 로고    scopus 로고
    • Lebesgue functions for polynomials interpolation: a survey
    • Brutman L. Lebesgue functions for polynomials interpolation: a survey. Ann. Numer. Math. 4 (1997) 111-127
    • (1997) Ann. Numer. Math. , vol.4 , pp. 111-127
    • Brutman, L.1
  • 4
    • 0010766294 scopus 로고
    • Proof of the conjectures of Bernstein and Erdvs concerning the optimal nodes for polynomial interpolation
    • Deboor C., and Pinkus A. Proof of the conjectures of Bernstein and Erdvs concerning the optimal nodes for polynomial interpolation. J. Approx. Theory 24 (1978) 289-303
    • (1978) J. Approx. Theory , vol.24 , pp. 289-303
    • Deboor, C.1    Pinkus, A.2
  • 5
    • 0036467951 scopus 로고    scopus 로고
    • Interpolation in the limit of increasingly at radial basis functions
    • Driscoll T.A., and Fornberg B. Interpolation in the limit of increasingly at radial basis functions. Comput. Math. Appl. 43 (2002) 413-422
    • (2002) Comput. Math. Appl. , vol.43 , pp. 413-422
    • Driscoll, T.A.1    Fornberg, B.2
  • 6
    • 0342482605 scopus 로고
    • Problems and results on the theory of interpolation, II
    • Erdös P. Problems and results on the theory of interpolation, II. Acta Math. Acad. Sci. Hungar. 12 (1961) 235-244
    • (1961) Acta Math. Acad. Sci. Hungar. , vol.12 , pp. 235-244
    • Erdös, P.1
  • 7
    • 0942300715 scopus 로고    scopus 로고
    • Some observations regarding interpolants in the limit of flat radial basis functions
    • Fornberg B., Wright G., and Larsson E. Some observations regarding interpolants in the limit of flat radial basis functions. Comp. Math. Appl. 47 (2004) 37-55
    • (2004) Comp. Math. Appl. , vol.47 , pp. 37-55
    • Fornberg, B.1    Wright, G.2    Larsson, E.3
  • 8
    • 14544293353 scopus 로고    scopus 로고
    • On the Approximation Order and Numerical Stability of Local Lagrange Interpolation by Polyharmonic Splines
    • Modern Developments in Multivariate Approximation. Haussmann W., Jetter K., Reimer M., and Stöckler J. (Eds), Birkhäuser Verlag, Basel
    • Iske A. On the Approximation Order and Numerical Stability of Local Lagrange Interpolation by Polyharmonic Splines. In: Haussmann W., Jetter K., Reimer M., and Stöckler J. (Eds). Modern Developments in Multivariate Approximation. International Series of Numerical Mathematics vol. 145 (2003), Birkhäuser Verlag, Basel 153-165
    • (2003) International Series of Numerical Mathematics , vol.145 , pp. 153-165
    • Iske, A.1
  • 9
    • 0000870091 scopus 로고
    • A characterization of the Lagrange interpolating projection with minimal Tchebyceff norm
    • Kilgore T.A. A characterization of the Lagrange interpolating projection with minimal Tchebyceff norm. J. Approx. Theory 24 (1978) 273-288
    • (1978) J. Approx. Theory , vol.24 , pp. 273-288
    • Kilgore, T.A.1
  • 10
    • 34250122797 scopus 로고
    • Interpolation of scattered data: distance matrices and conditionally positive definite functions
    • Micchelli C.A. Interpolation of scattered data: distance matrices and conditionally positive definite functions. Constr. Approx. 2 (1986) 11-22
    • (1986) Constr. Approx. , vol.2 , pp. 11-22
    • Micchelli, C.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.