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Volumn 17, Issue 5, 2010, Pages 687-708

Characterization theorem for best linear spline approximation with free knots

Author keywords

Chebyshev approximation; Linear splines; Quasidifferentials; Stationarity conditions

Indexed keywords


EID: 78649251478     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (10)

References (14)
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    • Bagirov, A.1    Clausen, C.2    Kohler., M.3
  • 2
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    • (2010) Comput. Optim. Appl. , vol.45 , Issue.1 , pp. 159-179
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  • 3
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    • Bartels, S.1    Kuntz, L.2    Sholtes, S.3
  • 4
    • 0040749593 scopus 로고    scopus 로고
    • Bivariate segment approximation and free knot splines: Research problems 96-4
    • P. Borwein, I. Daubechies, V. Totik, and G. Nürnberger. Bivariate segment approximation and free knot splines: Research problems 96-4. Constr. Approx., 12(4):555-558, 1996.
    • (1996) Constr. Approx. , vol.12 , Issue.4 , pp. 555-558
    • Borwein, P.1    Daubechies, I.2    Totik, V.3    Nürnberger, G.4
  • 5
    • 44449104064 scopus 로고
    • The theory of mechanisms known as parallelograms
    • Publishing Hours of the USSR Academy of Sciences, Moscow, In Russian
    • P. Chebyshev. The theory of mechanisms known as parallelograms. In Selected Works, pages 611-648. Publishing Hours of the USSR Academy of Sciences, Moscow, 1955. (In Russian).
    • (1955) In Selected Works , pp. 611-648
    • Chebyshev, P.1
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    • V. Demyanov and A. Rubinov, editors. of Nonconvex Optimization and Its Applications. Kluwer Academic, Dordrecht/ Boston/London
    • V. Demyanov and A. Rubinov, editors. Quasidifferentiability and Related Topics, volume 43 of Nonconvex Optimization and Its Applications. Kluwer Academic, Dordrecht/ Boston/London, 2000.
    • (2000) Quasidifferentiability and Related Topics , vol.43
  • 8
    • 78649236357 scopus 로고
    • On the quasidifferential of a continual maximum function
    • B. Luderer. On the quasidifferential of a continual maximum function. Optimization, 17(4):447-452, 1986.
    • (1986) Optimization , vol.17 , Issue.4 , pp. 447-452
    • Luderer, B.1
  • 9
    • 0007235458 scopus 로고
    • Chebyshev approximation by spline functions with free knots
    • B. Mulansky. Chebyshev approximation by spline functions with free knots. IMA J. Numer. Anal., 12:95-105, 1992.
    • (1992) IMA J. Numer. Anal. , vol.12 , pp. 95-105
    • Mulansky, B.1
  • 11
    • 38249026453 scopus 로고
    • Uniform approximation by generalized splines with free knots
    • G. Nürnberger, L. Schumaker, M. Sommer, and H. Strauss. Uniform approximation by generalized splines with free knots. J. Approx. Theory, 59(2):150-169, 1989.
    • (1989) J. Approx. Theory , vol.59 , Issue.2 , pp. 150-169
    • Nürnberger, G.1    Schumaker, L.2    Sommer, M.3    Strauss, H.4
  • 12
    • 0041017928 scopus 로고
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    • Rice, J.1
  • 13
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    • Necessary optimality conditions for free knots polynomial splines of degree one: Special cases
    • In press, accepted for publication
    • N. Sukhorukova. Necessary optimality conditions for free knots polynomial splines of degree one: special cases. Pac. J. Optim., 2008. In press, accepted for publication.
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    • Sukhorukova., N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.