메뉴 건너뛰기




Volumn 186, Issue 2, 2007, Pages 1581-1590

The weighted dual functionals for the univariate Bernstein basis

Author keywords

Bernstein polynomials; Dual basis and functionals; Jacobi weight

Indexed keywords

HILBERT SPACES; JACOBIAN MATRICES; LEAST SQUARES APPROXIMATIONS; POLYNOMIALS; RADIAL BASIS FUNCTION NETWORKS;

EID: 33947617855     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.08.065     Document Type: Article
Times cited : (22)

References (16)
  • 2
    • 0344046294 scopus 로고
    • The basis of B-Splines in the space of algebraic polynomials
    • Ciesielski Z. The basis of B-Splines in the space of algebraic polynomials. Ukrainian Math. J. 38 (1987) 311-315
    • (1987) Ukrainian Math. J. , vol.38 , pp. 311-315
    • Ciesielski, Z.1
  • 5
    • 0033718742 scopus 로고    scopus 로고
    • Legendre-Bernstein basis transformations
    • Farouki R. Legendre-Bernstein basis transformations. J. Comput. Appl. Math. 119 (2000) 145-160
    • (2000) J. Comput. Appl. Math. , vol.119 , pp. 145-160
    • Farouki, R.1
  • 6
    • 0024030404 scopus 로고
    • Algorithms for polynomials in Bernstein form
    • Farouki R., and Rajan V.T. Algorithms for polynomials in Bernstein form. Comput. Aided Geom. Des. 5 (1988) 1-26
    • (1988) Comput. Aided Geom. Des. , vol.5 , pp. 1-26
    • Farouki, R.1    Rajan, V.T.2
  • 9
    • 22044449725 scopus 로고    scopus 로고
    • The dual basis functions for the Bernstein polynomials
    • Jüttler B. The dual basis functions for the Bernstein polynomials. Adv. Comput. Math. 8 (1998) 345-352
    • (1998) Adv. Comput. Math. , vol.8 , pp. 345-352
    • Jüttler, B.1
  • 10
    • 0003657590 scopus 로고
    • Addison-Wesley, Reading, MA
    • Knuth D. Fundamental Algorithms. second ed. The Art of Computer Programming vol. 1 (1973), Addison-Wesley, Reading, MA
    • (1973) The Art of Computer Programming , vol.1
    • Knuth, D.1
  • 12
    • 0031195476 scopus 로고    scopus 로고
    • The dual basis functions for the generalized Ball basis of odd degree
    • Othman W., and Goldman R. The dual basis functions for the generalized Ball basis of odd degree. Comput. Aided Geom. Des. 14 (1997) 571-582
    • (1997) Comput. Aided Geom. Des. , vol.14 , pp. 571-582
    • Othman, W.1    Goldman, R.2
  • 13
    • 33947616240 scopus 로고    scopus 로고
    • A. Rababah, The dual functions for the bivariate bernstein basis, in: The First International Conference on Interactive Mobile and Computer Aided Learning, Amman-Jordan, 2006, pp. 1-3.
  • 14
    • 33746245340 scopus 로고    scopus 로고
    • Transformation of Chebyshev-Bernstein polynomial basis
    • Rababah A. Transformation of Chebyshev-Bernstein polynomial basis. Comput. Meth. Appl. Math. 3 (2003) 608-622
    • (2003) Comput. Meth. Appl. Math. , vol.3 , pp. 608-622
    • Rababah, A.1
  • 15
    • 85006507758 scopus 로고    scopus 로고
    • Jacobi-Bernstein basis transformation
    • Rababah A. Jacobi-Bernstein basis transformation. Comput. Meth. Appl. Math. 4 (2004) 206-214
    • (2004) Comput. Meth. Appl. Math. , vol.4 , pp. 206-214
    • Rababah, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.