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  • 标题:On Bernstein type polynomials and their applications
  • 本地全文:下载
  • 作者:Yilmaz Simsek ; Melih Gunay
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2015
  • 卷号:2015
  • 期号:1
  • 页码:79
  • DOI:10.1186/s13662-015-0423-9
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this study we examine generating functions for the Bernstein type polynomials given in (Simsek in Fixed Point Theory Appl. 2013:80, 2013). We expand these generating functions using the parameters u and v. By applying these generating functions, we obtain some functional equations and partial differential equations. In addition, using these equations, we derive several identities and relations related to these polynomials. Finally, numerical values of these polynomials for selected cases are demonstrated with their plots.
  • 关键词:Bernstein polynomials ; CAD ; graphs ; Bézier curves ; generating functions
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