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Volumn 140, Issue 1, 2006, Pages 86-99

On the Bernstein-Bézier form of Jacobi polynomials on a simplex

Author keywords

Bernstein B zier form Bernstein Durrmeyer operator; Generalised hypergeometric functions; Hahn polynomials; Jacobi polynomials; Lauricella function; Surface smoothing; Tight frame

Indexed keywords


EID: 33646355419     PISSN: 00219045     EISSN: 10960430     Source Type: Journal    
DOI: 10.1016/j.jat.2005.10.006     Document Type: Article
Times cited : (11)

References (15)
  • 4
    • 4043076183 scopus 로고
    • Explicit formula relating the Jacobi, Hahn and Bernstein polynomials
    • Ciesielski Z. Explicit formula relating the Jacobi, Hahn and Bernstein polynomials. SIAM J. Math. Anal. 18 6 (1987) 1573-1575
    • (1987) SIAM J. Math. Anal. , vol.18 , Issue.6 , pp. 1573-1575
    • Ciesielski, Z.1
  • 5
    • 33646362404 scopus 로고    scopus 로고
    • I. Daubechies, Ten lectures on wavelets, CBMS Conference Series in Applied Mathematics, vol. 61, SIAM, Philadelphia, PA, 1992.
  • 6
    • 33748968586 scopus 로고
    • On multivariate approximation by Bernstein-type polynomials
    • Derriennic M.M. On multivariate approximation by Bernstein-type polynomials. J. Approx. Theory 45 2 (1985) 155-166
    • (1985) J. Approx. Theory , vol.45 , Issue.2 , pp. 155-166
    • Derriennic, M.M.1
  • 8
    • 33646385055 scopus 로고    scopus 로고
    • e cycle, Faculté de Sci. de Univ. Paris, 1967.
  • 9
    • 0033718742 scopus 로고    scopus 로고
    • Legendre-Bernstein basis transformations
    • Farouki R.T. Legendre-Bernstein basis transformations. J. Assoc. Comput. Mach. 119 1-2 (2000) 145-160
    • (2000) J. Assoc. Comput. Mach. , vol.119 , Issue.1-2 , pp. 145-160
    • Farouki, R.T.1
  • 10
    • 0037840691 scopus 로고    scopus 로고
    • Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains
    • Farouki R.T., Goodman T.N.T., and Sauer T. Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains. Comput. Aided Geom. Design 20 4 (2003) 209-230
    • (2003) Comput. Aided Geom. Design , vol.20 , Issue.4 , pp. 209-230
    • Farouki, R.T.1    Goodman, T.N.T.2    Sauer, T.3
  • 11
    • 0001655705 scopus 로고
    • Sur une famille de polynomes à variables orthogonaux dans un triangle
    • Proriol J. Sur une famille de polynomes à variables orthogonaux dans un triangle. C. R. Acad. Sci. Paris 245 (1957) 2459-2461
    • (1957) C. R. Acad. Sci. Paris , vol.245 , pp. 2459-2461
    • Proriol, J.1
  • 12
    • 0032622621 scopus 로고    scopus 로고
    • Multivariable orthogonal polynomials and coupling coefficients for discrete series representations
    • Rosengren H. Multivariable orthogonal polynomials and coupling coefficients for discrete series representations. SIAM J. Math. Anal. 30 2 (1999) 232-272
    • (1999) SIAM J. Math. Anal. , vol.30 , Issue.2 , pp. 232-272
    • Rosengren, H.1
  • 13
    • 33646380472 scopus 로고    scopus 로고
    • H. Rosengren, S. Waldron, Tight frames of Jacobi and Hahn polynomials on a simplex, preprint, 2004.
  • 14
    • 33646362161 scopus 로고    scopus 로고
    • S. Waldron, Y. Xu, Tight frames of Jacobi polynomials on a simplex, preprint, 2001.
  • 15
    • 14044277537 scopus 로고    scopus 로고
    • Monomial orthogonal polynomials of several variables
    • Xu Y. Monomial orthogonal polynomials of several variables. J. Approx. Theory 133 (2005) 1-37
    • (2005) J. Approx. Theory , vol.133 , pp. 1-37
    • Xu, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.