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Volumn 11, Issue 3, 1991, Pages 393-409

On the best least squares approximation of continuous functions using linear splines with free knots

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EID: 0000046383     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/11.3.393     Document Type: Article
Times cited : (14)

References (22)
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    • Baines, M.J.1    Wathen, A.J.2
  • 2
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    • CFD finite element penalty algorithm
    • J. R. Whiteman, Ed.). London: Academic Press
    • Baker, A. J. 1985 CFD finite element penalty algorithm. In: The Mathematics of Finite Elements and Applications V (J. R. Whiteman, Ed.). London: Academic Press. Pp. 391-414.
    • (1985) The Mathematics of Finite Elements and Applications V , pp. 391-414
    • Baker, A.J.1
  • 3
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    • Unicity of best mean approximation by second order splines with variable knots
    • Barrow, D. L., Chui, C. K., Smith, P. W., and Ward, J. D. 1978 Unicity of best mean approximation by second order splines with variable knots. Math. Comput.32, 1131-1143.
    • (1978) Math. Comput , vol.32 , pp. 1131-1143
    • Barrow, D.L.1    Chui, C.K.2    Smith, P.W.3    Ward, J.D.4
  • 5
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    • On simple moving grid methods for one-dimensional evolutionary partial differential equations
    • Blom, J. G., Sanz-Serna, J. M., and Verwer, J. G. 1988 On simple moving grid methods for one-dimensional evolutionary partial differential equations. J. Comput. Phys.74, 191-213.
    • (1988) J. Comput. Phys , vol.74 , pp. 191-213
    • Blom, J.G.1    Sanz-Serna, J.M.2    Verwer, J.G.3
  • 6
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    • Grading functions and mesh redistribution
    • Carey, G. F., and Dinh, H. T. 1985 Grading functions and mesh redistribution. SIAM J. Numer. Anal.22, 1028-1040.
    • (1985) SIAM J. Numer. Anal , vol.22 , pp. 1028-1040
    • Carey, G.F.1    Dinh, H.T.2
  • 7
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    • On the smoothness of best L2 approximants from nonlinear spline manifolds
    • Chui, C. K., Smith, P. W., and Ward, J. D.1977On the smoothness of best L2 approximants from nonlinear spline manifolds. Math. Comput.31, 17-23.
    • (1977) Math. Comput , vol.31 , pp. 17-23
    • Chui, C.K.1    Smith, P.W.2    Ward, J.D.3
  • 8
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    • On the approximation by /-polynomials
    • I. J. Schoenberg, ed.). New York: Academic Press
    • de Boor, C. 1969 On the approximation by /-polynomials. In: Approximation with Special Emphasis on Spline Functions (I. J. Schoenberg, ed.). New York: Academic Press. Pp. 157-183.
    • (1969) Approximation with Special Emphasis on Spline Functions , pp. 157-183
    • De Boor, C.1
  • 10
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    • An algorithm for Chebyshev approximation by splines with free knots. Universität Hamburg
    • Fischer, B. 1988 An algorithm for Chebyshev approximation by splines with free knots. Universität Hamburg, Institute fur Angewandte Mathematik, 2000 Hamburg 13.
    • (1988) Institute Fur Angewandte Mathematik, 2000 Hamburg , pp. 13
    • Fischer, B.1
  • 12
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    • Characterisation of best spline approximations with free knots
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    • Handscomb, D. C. 1970 Characterisation of best spline approximations with free knots. In: Approximation Theory.London: Academic Press. Pp. 63-70.
    • (1970) Approximation Theory , pp. 63-70
    • Handscomb, D.C.1
  • 13
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    • Approximation from a curve of functions
    • Hobby, C. R., and Rice, J. R. 1967 Approximation from a curve of functions. Arch. Rational Mech. Anal.27, 91-106.
    • (1967) Arch. Rational Mech. Anal , vol.27 , pp. 91-106
    • Hobby, C.R.1    Rice, J.R.2
  • 14
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    • The ‘lethargy’ theorem-a property of approximation by y-polynomials
    • Jupp, D. L. B. 1975The ‘lethargy’ theorem-a property of approximation by y-polynomials. J. Approximation Theory.14, 204-217.
    • (1975) J. Approximation Theory , vol.14 , pp. 204-217
    • Jupp, D.1
  • 15
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    • Approximation to data by splines with free knots
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    • (1978) SIAM J. Numer. Anal , vol.15 , pp. 328-343
    • Jupp, D.L.B.1
  • 17
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    • Lyche, T., and Morken, K. 1987 Knot removal for parametric B-spline curves and surfaces. CAGD4, 217-230.
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    • Lyche, T.1    Morken, K.2
  • 22
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    • On the smoothness of best spline approximations
    • Schumaker, L. L. 1969 On the smoothness of best spline approximations. J. Approximation Theory2, 410-418.
    • (1969) J. Approximation Theory , vol.2 , pp. 410-418
    • Schumaker, L.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.