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Volumn 199, Issue 1, 2007, Pages 149-158

Jacobi polynomials in Bernstein form

Author keywords

Bernstein form; Jacobi polynomials; Simplex

Indexed keywords

COMBINATORIAL MATHEMATICS; MATHEMATICAL MODELS;

EID: 33748969322     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.07.028     Document Type: Article
Times cited : (3)

References (13)
  • 1
    • 33748983658 scopus 로고    scopus 로고
    • M. Abramowitz, I.A. Stegun (Eds.), Handbook of Mathematical Functions, Dover, 1972 (10th printing).
  • 3
    • 0011443589 scopus 로고
    • Bernstein-Durrmeyer polynomials on a simplex
    • Berens H., Schmid H.J., and Xu Y. Bernstein-Durrmeyer polynomials on a simplex. J. Approx. Theory 68 (1992) 247-261
    • (1992) J. Approx. Theory , vol.68 , pp. 247-261
    • Berens, H.1    Schmid, H.J.2    Xu, Y.3
  • 5
    • 0041327217 scopus 로고    scopus 로고
    • Approximation on simplices with respect to Sobolev norms
    • Braess D., and Schwab C. Approximation on simplices with respect to Sobolev norms. J. Approx. Theory 103 (2000) 329-337
    • (2000) J. Approx. Theory , vol.103 , pp. 329-337
    • Braess, D.1    Schwab, C.2
  • 6
    • 33646818425 scopus 로고
    • Convexity and Bernstein polynomials on k-simploids
    • Dahmen W., and Micchelli C.A. Convexity and Bernstein polynomials on k-simploids. Acta Math. Appl. Sinica 6 (1990) 50-66
    • (1990) Acta Math. Appl. Sinica , vol.6 , pp. 50-66
    • Dahmen, W.1    Micchelli, C.A.2
  • 7
    • 84966252461 scopus 로고
    • Blossoming begets B-spline bases built better by B-patches
    • Dahmen W., Micchelli C.A., and Seidel H.P. Blossoming begets B-spline bases built better by B-patches. Math. Comp. 59 199 (1992) 97-115
    • (1992) Math. Comp. , vol.59 , Issue.199 , pp. 97-115
    • Dahmen, W.1    Micchelli, C.A.2    Seidel, H.P.3
  • 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) 325-343
    • (1985) J. Approx. Theory , vol.45 , pp. 325-343
    • Derriennic, M.M.1
  • 10
    • 0037840691 scopus 로고    scopus 로고
    • Construction of an orthogonal bases for polynomials in Bernstein form on triangular and simplex domains
    • Farouki R.T., Goodman T.N.T., and Sauer T. Construction of an orthogonal bases for polynomials in Bernstein form on triangular and simplex domains. Comp. Aided Geom. Design 20 (2003) 209-230
    • (2003) Comp. Aided Geom. Design , vol.20 , pp. 209-230
    • Farouki, R.T.1    Goodman, T.N.T.2    Sauer, T.3
  • 11
    • 0023455805 scopus 로고
    • On the numerical condition of polynomials in Bernstein form
    • Farouki R.T., and Rajan V.T. On the numerical condition of polynomials in Bernstein form. Comput. Aided Geom. Design 4 (1987) 191-216
    • (1987) Comput. Aided Geom. Design , vol.4 , pp. 191-216
    • Farouki, R.T.1    Rajan, V.T.2
  • 12
    • 0010968550 scopus 로고
    • The genuine Bernstein-Durrmeyer operator on a simplex
    • Sauer T. The genuine Bernstein-Durrmeyer operator on a simplex. Results Math. 26 (1994) 99-130
    • (1994) Results Math. , vol.26 , pp. 99-130
    • Sauer, T.1
  • 13
    • 51249167987 scopus 로고
    • Computational aspects of multivariate polynomial interpolation
    • Sauer T. Computational aspects of multivariate polynomial interpolation. Adv. Comput. Math. 3 3 (1995) 219-238
    • (1995) Adv. Comput. Math. , vol.3 , Issue.3 , pp. 219-238
    • Sauer, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.