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Volumn 89, Issue 2, 1997, Pages 219-237

On the limits of (linear combinations of) iterates of linear operators

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Indexed keywords


EID: 0031145175     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1996.3039     Document Type: Article
Times cited : (20)

References (18)
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    • De Boor, C.1
  • 4
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    • Limit of iterates for Bernstein polynomials defined on higher dimensional domains
    • Chang G., Feng Y. Limit of iterates for Bernstein polynomials defined on higher dimensional domains. Kexue Tongbao. 31:1986;157-160.
    • (1986) Kexue Tongbao , vol.31 , pp. 157-160
    • Chang, G.1    Feng, Y.2
  • 5
    • 51649132730 scopus 로고
    • Limit of iterates for Bernstein polynomials defined on a triangle
    • Chen F., Feng Y. Limit of iterates for Bernstein polynomials defined on a triangle. Appl. Math. Ser. B. 8:1993;45-53.
    • (1993) Appl. Math. Ser. B , vol.8 , pp. 45-53
    • Chen, F.1    Feng, Y.2
  • 7
    • 0010994129 scopus 로고
    • Sur l'approximation de fonctions intégrables sur [0, 1] par des polynômes de Bernstein modifies
    • Derriennic M. M. Sur l'approximation de fonctions intégrables sur [0, 1] par des polynômes de Bernstein modifies. J. Approx. Theory. 31:1981;325-343.
    • (1981) J. Approx. Theory , vol.31 , pp. 325-343
    • Derriennic, M.M.1
  • 8
    • 33748968586 scopus 로고
    • On multivariate approximation by Bernstein-type polynomials
    • Derriennic M. M. On multivariate approximation by Bernstein-type polynomials. J. Approx. Theory. 45:1985;155-166.
    • (1985) J. Approx. Theory , vol.45 , pp. 155-166
    • Derriennic, M.M.1
  • 9
    • 0002095945 scopus 로고
    • Approximation theorems for the iterated Boolean sums of Bernstein operators
    • Gonska H. H., Zhou X.-L. Approximation theorems for the iterated Boolean sums of Bernstein operators. J. Comp. Appl. Math. 53:1994;21-31.
    • (1994) J. Comp. Appl. Math. , vol.53 , pp. 21-31
    • Gonska, H.H.1    Zhou, X.-L.2
  • 12
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    • Multivariate approximation and tensor products
    • E.W. Cheney. New York: Academic Press
    • Haussmann W., Zeller K. Multivariate approximation and tensor products. Cheney E. W. Approximation Theory III. 1980;495-500 Academic Press, New York.
    • (1980) Approximation Theory III , pp. 495-500
    • Haussmann, W.1    Zeller, K.2
  • 13
    • 84972538749 scopus 로고
    • Iterates of Bernstein polynomials
    • Kelisky R. P., Rivlin T. J. Iterates of Bernstein polynomials. Pacific J. Math. 21:1967;511-520.
    • (1967) Pacific J. Math. , vol.21 , pp. 511-520
    • Kelisky, R.P.1    Rivlin, T.J.2
  • 15
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    • The saturation class and iterates of Bernstein polynomials
    • Micchelli C. A. The saturation class and iterates of Bernstein polynomials. J. Approx. Theory. 8:1973;1-18.
    • (1973) J. Approx. Theory , vol.8 , pp. 1-18
    • Micchelli, C.A.1
  • 16
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    • Positive spline operators and orthogonal splines
    • Sablonnière P. Positive spline operators and orthogonal splines. J. Approx. Theory. 52:1988;28-42.
    • (1988) J. Approx. Theory , vol.52 , pp. 28-42
    • Sablonnière, P.1
  • 17
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    • Lagrange and least-squares polynomials as limits of linear combinations of iterates of Bernstein and Durrmeyer polynomials
    • Sevy J. C. Lagrange and least-squares polynomials as limits of linear combinations of iterates of Bernstein and Durrmeyer polynomials. J. Approx. Theory. 80:1995;267-271.
    • (1995) J. Approx. Theory , vol.80 , pp. 267-271
    • Sevy, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.