The dual basis functions for the Bernstein polynomials

被引:70
|
作者
Juttler, B [1 ]
机构
[1] Univ Technol, Dept Math, D-64289 Darmstadt, Germany
关键词
dual (reciprocal) basis; Bernstein polynomials; dual functional;
D O I
10.1023/A:1018912801267
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An explicit formula for the dual basis functions of the Bernstein basis is derived. The dual basis functions are expressed as linear combinations of Bernstein polynomials.
引用
收藏
页码:345 / 352
页数:8
相关论文
共 50 条
  • [31] Upper bounds for Bernstein basis functions
    Gupta, Vijay
    Shervashidze, Tengiz
    Springer Proceedings in Mathematics and Statistics, 2013, 33 : 293 - 301
  • [32] A unified approach to resultant matrices for Bernstein basis polynomials
    Winkler, Joab R.
    COMPUTER AIDED GEOMETRIC DESIGN, 2008, 25 (07) : 529 - 541
  • [33] Characterization of Generalized Jacobi Polynomials Using Bernstein Basis
    Alqudah, Mohammad
    Almheidat, Maalee
    INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2022, ICNAAM-2022, 2024, 3094
  • [34] Change of Basis Transformation from the Bernstein Polynomials to the Chebyshev Polynomials of the Fourth Kind
    Rababah, Abedallah
    Hijazi, Esraa
    MATHEMATICS, 2019, 7 (02)
  • [35] Bounds for Bernstein basis functions and Meyer-Konig and Zeller basis functions
    Zeng, XM
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 219 (02) : 364 - 376
  • [36] Differential-recurrence properties of dual Bernstein polynomials
    Chudy, Filip
    Woźny, Pawel
    arXiv, 2018,
  • [37] Differential-recurrence properties of dual Bernstein polynomials
    Chudy, Filip
    Wozny, Pawel
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 338 : 537 - 543
  • [38] ON THE RATE OF CONVERGENCE OF BERNSTEIN POLYNOMIALS OF FUNCTIONS OF BOUNDED VARIATION
    CHENG, F
    JOURNAL OF APPROXIMATION THEORY, 1983, 39 (03) : 259 - 274
  • [39] On the Convergence of the q-Bernstein Polynomials for Power Functions
    Sofiya Ostrovska
    Ahmet Yaşar Özban
    Mediterranean Journal of Mathematics, 2021, 18
  • [40] Remarks on q-Monotone Functions and the Bernstein polynomials
    Abel, Ulrich
    Leviatan, Dany
    Rasa, Ioan
    RESULTS IN MATHEMATICS, 2023, 78 (02)