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Volumn 27, Issue 1, 1996, Pages 286-304

Convolution operators for radial basis approximation

Author keywords

Convolution; Quasi interpolation; Radial basis

Indexed keywords


EID: 0030555506     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141093255235     Document Type: Article
Times cited : (5)

References (16)
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    • (1990) Constr. Approx. , vol.6 , pp. 21-34
    • Buhmann, M.D.1
  • 3
    • 84968515237 scopus 로고
    • Scattered data interpolation: Tests of some methods
    • [F] R. FRANKE, Scattered data interpolation: Tests of some methods, Math. Comp. 38 (1982), pp. 381-200.
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    • Franke, R.1
  • 5
    • 0025206382 scopus 로고
    • Theory and applications of the multiquadric biharmonic method
    • This paper has a bibliography of 109 items
    • [Ha] R. L. HARDY, Theory and applications of the multiquadric biharmonic method, Comput. Math. Appl., 19 (1990), pp. 163-208. (This paper has a bibliography of 109 items.)
    • (1990) Comput. Math. Appl. , vol.19 , pp. 163-208
    • Hardy, R.L.1
  • 6
    • 0001511006 scopus 로고
    • Convergence properties of radial basis functions
    • [Ji] I. R. H. JACKSON, Convergence properties of radial basis functions, Constr. Approx. 4 (1988), pp. 243-264.
    • (1988) Constr. Approx. , vol.4 , pp. 243-264
    • Jackson, I.R.H.1
  • 8
    • 34250122797 scopus 로고
    • Interpolation of scattered data: Distance matrices and conditionally positive definite functions
    • C. A. MICCHELLI, Interpolation of scattered data: Distance matrices and conditionally positive definite functions, Constr. Approx. 2 (1986), pp. 11-22.
    • (1986) Constr. Approx. , vol.2 , pp. 11-22
    • Micchelli, C.A.1
  • 10
    • 0001743201 scopus 로고
    • Metric spaces and completely monotone functions
    • I. J. SCHOENBERG, Metric spaces and completely monotone functions, Ann. of Math. 39 (1938), pp. 811-841.
    • (1938) Ann. of Math. , vol.39 , pp. 811-841
    • Schoenberg, I.J.1
  • 11
    • 0001641319 scopus 로고
    • On certain metric spaces arising from Euclidean spaces. .
    • _, On certain metric spaces arising from Euclidean spaces. . ., Ann. of Math. 36 (1937), pp. 787-793.
    • (1937) Ann. of Math. , vol.36 , pp. 787-793
  • 12
    • 84968492782 scopus 로고
    • Metric spaces and positive definite functions
    • _, Metric spaces and positive definite functions, Trans. Amer. Math. Soc., 44 (1938), pp. 811-841.
    • (1938) Trans. Amer. Math. Soc. , vol.44 , pp. 811-841
  • 13
    • 0001203499 scopus 로고
    • Remarks to Maurice Frechet's article. .
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    • (1935) Ann. of Math. , vol.36 , pp. 724-732
  • 16
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    • Constructive methods of approximation by ridge functions and radial functions
    • [XLC] Y. XU, W. A. LIGHT, AND E. W. CHENEY, Constructive methods of approximation by ridge functions and radial functions, Numer. Algorithms, 4 (1993), pp. 205-223.
    • (1993) Numer. Algorithms , vol.4 , pp. 205-223
    • Xu, Y.1    Light, W.A.2    Cheney, E.W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.