메뉴 건너뛰기




Volumn 8, Issue 4, 1992, Pages 427-462

Fourier analysis of the approximation power of principal shift-invariant spaces

Author keywords

AMS classification: Primary 41A25, 41A63, Secondary 41A15, 42A82; Approximation order; Exponentials; Integer translates; Multivariate; Polynomials; Principal shift invariant spaces; Regular grids; Shift invariant spaces; Splines Radial basis functions; Strang Fix conditions; Uniform mesh

Indexed keywords


EID: 0001454271     PISSN: 01764276     EISSN: 14320940     Source Type: Journal    
DOI: 10.1007/BF01203462     Document Type: Article
Times cited : (71)

References (34)
  • 3
    • 0000709896 scopus 로고
    • The polynomials in the linear span of integer translates of a compactly supported function
    • (1987) Constr. Approx. , vol.3 , pp. 199-208
    • de Boor, C.1
  • 8
    • 84935302428 scopus 로고    scopus 로고
    • [BHR] C. de Boor, K. Höllig, S. D. Riemenschneider (to appear): Box Splines. New York: Springer-Verlag.
  • 10
    • 84935302427 scopus 로고    scopus 로고
    • [BR] C. de Boor, A. Ron (to appear): The exponentials in the span of the integer translates of a compactly supported function: approximation orders and quasi-interpolation. J. London Math. Soc.
  • 11
    • 84935302430 scopus 로고    scopus 로고
    • [Bu1] M. D. Buhmann (1989): Multivariate interpolation using radial basis functions. Ph.D. Thesis, University of Cambridge.
  • 12
    • 0002851869 scopus 로고
    • Multivariate interpolation in odd-dimensional Euclidean spaces using multiquadrics
    • (1990) Constr. Approx. , vol.6 , pp. 21-34
    • Buhmann, M.D.1
  • 14
    • 84935302429 scopus 로고    scopus 로고
    • [Bu4] M. D. Buhmann (1991): On quasi-interpolation with radial basis functions. Manuscript.
  • 16
    • 84935302432 scopus 로고    scopus 로고
    • [BuD2] M. D. Buhmann, N. Dyn (to appear): Spectral convergence of multiquadric interpolation.
  • 20
    • 84935302431 scopus 로고    scopus 로고
    • [DJLR] N. Dyn, I. R. H. Jackson, D. Levin, A Ron (to appear): On multivariate approximation by the integer translates of a basis function Israel J. Math.
  • 22
    • 84935302434 scopus 로고    scopus 로고
    • [HL] E. J. Halton, W. A. Light (preprint): On local and controlled approximation order.
  • 24
    • 84935302433 scopus 로고    scopus 로고
    • [JL] R. Q. Jia, J. Lei (to appear): Approximation by multi-integer translates of functions having global support. J. Approx. Theory.
  • 27
    • 84935302436 scopus 로고    scopus 로고
    • [M] W. R. Madych (preprint): Error estimates for interpolation by generalized splines. 40:141–156.
  • 29
    • 84935302435 scopus 로고    scopus 로고
    • [P] M. J. D. Powell (1990): The Theory of Radial Basis Function Approximation in 1990. DAMTP Report NA11, University of Cambridge.
  • 31
    • 0001812101 scopus 로고
    • A characterization of the approximation order of multivariate spline spaces
    • (1991) Studia Math. , vol.98 , Issue.1 , pp. 73-90
    • Ron, A.1
  • 32
    • 84935302423 scopus 로고    scopus 로고
    • [RS] A. Ron, N. Sivakumar (to appear): The approximation order of box spline spaces. Proc. Amer. Math. Soc.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.