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Volumn 12, Issue 3, 1996, Pages 361-384

Constrained best approximation in Hilbert space III. Applications to n-convex functions

Author keywords

Best constrained approximation; Cones; Dual cones; Duality; Hilbert space; N Convex functions; Shape preserving interpolation

Indexed keywords


EID: 0030517677     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003659900019     Document Type: Article
Times cited : (20)

References (18)
  • 1
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    • (1976) J. Approx. Theory , vol.16 , pp. 28-42
    • De Boor, C.1
  • 2
    • 84972568793 scopus 로고
    • A criterion for n-convexity
    • P. S. BULLEN (1971): A criterion for n-convexity. Pacific J. Math., 36:81-98.
    • (1971) Pacific J. Math. , vol.36 , pp. 81-98
    • Bullen, P.S.1
  • 3
    • 0002928306 scopus 로고
    • Constrained best approximation in Hilbert space
    • C. K. CHUI, F. DEUTSCH, J. D. WARD (1990): Constrained best approximation in Hilbert space. Constr. Approx., 6:35-64.
    • (1990) Constr. Approx. , vol.6 , pp. 35-64
    • Chui, C.K.1    Deutsch, F.2    Ward, J.D.3
  • 4
    • 44049114216 scopus 로고
    • Constrained best approximation in Hilbert space II
    • C. K. CHUI, F. DEUTSCH, J. D. WARD (1992): Constrained best approximation in Hilbert space II. J. Approx. Theory, 71:213-238.
    • (1992) J. Approx. Theory , vol.71 , pp. 213-238
    • Chui, C.K.1    Deutsch, F.2    Ward, J.D.3
  • 10
    • 0001036636 scopus 로고
    • Smoothing and interpolation in a convex subset of a Hilbert space
    • C. A. MICCHELLI, F. UTRERAS (1988): Smoothing and interpolation in a convex subset of a Hilbert space. SIAM J. Sci. Statist. Comput., 9:728-746.
    • (1988) SIAM J. Sci. Statist. Comput. , vol.9 , pp. 728-746
    • Micchelli, C.A.1    Utreras, F.2
  • 12
    • 0039023919 scopus 로고
    • A simple optimal control problem involving approximation by monotone functions
    • W. T. REID (1968): A simple optimal control problem involving approximation by monotone functions. J. Optim. Theory Appl., 2:365-377.
    • (1968) J. Optim. Theory Appl. , vol.2 , pp. 365-377
    • Reid, W.T.1
  • 14
    • 0004267646 scopus 로고
    • Princeton, NJ: Princeton University Press
    • R. T. ROCKAFELLAR (1970): Convex Analysis. Princeton, NJ: Princeton University Press.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 16
    • 38249021675 scopus 로고
    • p approximation from nonconvex subsets of special classes of functions
    • p approximation from nonconvex subsets of special classes of functions. J. Approx. Theory, 57:223-238.
    • (1989) J. Approx. Theory , vol.57 , pp. 223-238
    • Ubhaya, V.A.1
  • 17
    • 0040802367 scopus 로고
    • Some constrained approximation problems
    • C. K. Chui, L. L. Schumaker, J. D. Ward, eds.: New York: Academic Press
    • J. WARD (1986): Some constrained approximation problems. In: Approximation Theory V (C. K. Chui, L. L. Schumaker, J. D. Ward, eds.): New York: Academic Press, pp. 211-229.
    • (1986) Approximation Theory V , pp. 211-229
    • Ward, J.1
  • 18
    • 38249001938 scopus 로고
    • Best interpolation with convex constraints
    • K. ZHAO (1993): Best interpolation with convex constraints. J. Approx. Theory, 73:119-135.
    • (1993) J. Approx. Theory , vol.73 , pp. 119-135
    • Zhao, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.