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Volumn 355, Issue 7, 2003, Pages 2585-2631

Algorithms for nonlinear piecewise polynomial approximation: Theoretical aspects

Author keywords

Courant elements; Jackson and Bernstein estimates; Nested irregular triangulations; Nonlinear n term approximation; Redundant representations

Indexed keywords


EID: 0037790992     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-03-03141-6     Document Type: Article
Times cited : (11)

References (15)
  • 1
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    • C. Bennett and R. Sharpley, Interpolation of operators, Pure and Applied Mathematics Vol. 129, Academic Press, Inc., Boston, MA, 1988. MR 89e:46001
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    • Bennett, C.1    Sharpley, R.2
  • 2
    • 0003360898 scopus 로고
    • Interpolation spaces: An introduction
    • Springer-Verlag, Berlin-New York. MR 58:2349
    • J. Bergh and J. Löfström, Interpolation spaces: An introduction, Grundlehren der Mathematischen Wissenschaften, No. 223. Springer-Verlag, Berlin-New York, 1976. MR 58:2349
    • (1976) Grundlehren der Mathematischen Wissenschaften , Issue.223
    • Bergh, J.1    Löfström, J.2
  • 8
    • 84966241361 scopus 로고
    • Interpolation of Besov spaces
    • MR 89h:46044
    • R.A. DeVore and V. Popov, Interpolation of Besov spaces, Trans. Amer. Math. Soc. 305(1988), 397-414. MR 89h:46044
    • (1988) Trans. Amer. Math. Soc. , vol.305 , pp. 397-414
    • DeVore, R.A.1    Popov, V.2
  • 9
    • 0001604851 scopus 로고
    • Interpolation spaces and non-linear approximation
    • Function Spaces and Applications, M. Cwikel, J. Peetre, Y. Sagher, and H. Wallin (eds.), Springer-Verlag, Berlin. MR 89d:41035
    • R.A. DeVore and V. Popov, Interpolation spaces and non-linear approximation, in Function Spaces and Applications, M. Cwikel, J. Peetre, Y. Sagher, and H. Wallin (eds.), Springer Lecture Notes in Math. 1302, Springer-Verlag, Berlin, 1988, 191-205. MR 89d:41035
    • (1988) Springer Lecture Notes in Math. , vol.1302 , pp. 191-205
    • DeVore, R.A.1    Popov, V.2
  • 13
    • 0001843451 scopus 로고
    • Direct and converse theorems for spline and rational approximation and Besov spaces
    • Function Spaces and Applications, M. Cwikel et. al. (eds). Springer, Berlin. MR 89d:41027
    • P. Petrushev, Direct and converse theorems for spline and rational approximation and Besov spaces, in Function Spaces and Applications, M. Cwikel et. al. (eds), Vol. 1302 of Lecture Notes in Mathematics, Springer, Berlin, 1988, pp. 363-377. MR 89d:41027
    • (1988) Lecture Notes in Mathematics , vol.1302 , pp. 363-377
    • Petrushev, P.1
  • 14
    • 0037357249 scopus 로고    scopus 로고
    • Multivariate n-term rational and piecewise polynomial approximation
    • P. Petrushev, Multivariate n-term rational and piecewise polynomial approximation, J. Approx. Theory (2003), to appear, (http://www.math.sc.edu/̃imip/01.html)
    • (2003) J. Approx. Theory
    • Petrushev, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.