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Volumn 28, Issue 3, 1997, Pages 731-748

Smooth refinable functions provide good approximation orders

Author keywords

Approximation orders; Box splines; Father wavelet; Principal shift invariant spaces; Scaling functions; Wavelets

Indexed keywords


EID: 0031517832     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141095282486     Document Type: Article
Times cited : (22)

References (17)
  • 1
  • 4
    • 0347041885 scopus 로고
    • C. DE BOOR, R. DEVORE AND A. RON, The structure of shift invariant spaces and applications to approximation theory, Technical Report CMS-TSR 92-08, University of Wisconsin, Madison, WI, 1992; J. Funct. Anal., 119 (1994), pp. 37-78.
    • (1994) J. Funct. Anal. , vol.119 , pp. 37-78
  • 5
    • 33645709663 scopus 로고    scopus 로고
    • Approximation orders of FSI spaces
    • to appear
    • C. DE BOOR, R.A. DEVORE, AND A. RON, Approximation orders of FSI spaces, Constr. Approx., 13 (1997), to appear.
    • (1997) Constr. Approx. , vol.13
    • De Boor, C.1    Devore, R.A.2    Ron, A.3
  • 7
    • 0001454271 scopus 로고
    • Fourier analysis of approximation power of principal shift-invariant spaces
    • C. DE BOOR AND A. RON, Fourier analysis of approximation power of principal shift-invariant spaces, Constr. Approx., 8 (1992), pp. 427-462.
    • (1992) Constr. Approx. , vol.8 , pp. 427-462
    • De Boor, C.1    Ron, A.2
  • 9
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • I. DAUBECHIES, Orthonormal bases of compactly supported wavelets, Comin. Pure Appl. Math., 41 (1988), pp. 909-996.
    • (1988) Comin. Pure Appl. Math. , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 10
    • 85029995344 scopus 로고    scopus 로고
    • Approximation by translates of refinable functions
    • to appear
    • C. HEIL, G. STRANG, AND V. STRELA, Approximation by translates of refinable functions, Numer. Math., to appear.
    • Numer. Math.
    • Heil, C.1    Strang, G.2    Strela, V.3
  • 11
    • 84966230576 scopus 로고
    • The Toeplitz theorem and its applications to approximation theory and linear PDE's
    • R.-Q. JIA, The Toeplitz theorem and its applications to approximation theory and linear PDE's, Trans. Amer. Math. Soc., 7 (1995), pp. 2585-2594.
    • (1995) Trans. Amer. Math. Soc. , vol.7 , pp. 2585-2594
    • Jia, R.-Q.1
  • 12
    • 85029963246 scopus 로고    scopus 로고
    • An upper bound on the approximation power of principal shift-invariant spaces
    • to appear
    • M. J. JOHNSON, An upper bound on the approximation power of principal shift-invariant spaces, Constr. Approx., to appear.
    • Constr. Approx.
    • Johnson, M.J.1
  • 14
    • 0002888350 scopus 로고
    • Using the refinement equation for the construction of pre-wavelets II: Powers of two
    • P. J. Laurent, A. Le Méhaué, and L. L. Schumaker, eds., Academic Press, New York
    • R.-Q. JIA AND C.A. MICCHELLI, Using the refinement equation for the construction of pre-wavelets II: Powers of two, Curves and Surfaces, P. J. Laurent, A. Le Méhaué, and L. L. Schumaker, eds., Academic Press, New York, 1991, pp. 209-246.
    • (1991) Curves and Surfaces , pp. 209-246
    • Jia, R.-Q.1    Micchelli, C.A.2
  • 16
    • 0001614351 scopus 로고
    • A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
    • A. RON, A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution, Constr. Approx., 5 (1989), pp. 297-308.
    • (1989) Constr. Approx. , vol.5 , pp. 297-308
    • Ron, A.1
  • 17
    • 51249178327 scopus 로고
    • Factorization theorems of univariate splines on regular grids
    • A. RON, Factorization theorems of univariate splines on regular grids, Israel J. Math., 70 (1990), pp. 48-68.
    • (1990) Israel J. Math. , vol.70 , pp. 48-68
    • Ron, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.