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一类修正的Bernstein算子的点态逼近估计 被引量:1

An estimate on the convergence of the modified Bernstein operators
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摘要 利用经典的Bojanic-Cheng分解方法,结合分析技术,研究了修正的Bernstein算子对一类绝对连续函数的逼近,得到比较精确的收敛阶和渐近展开式. By Bojanic-Cheng's method and analysis techniques, the authors study the approximation prop- erties of the modified Bernstein operators for some absolutely continuous functions, and get an accurate as- ymptotic expansion formula.
出处 《闽江学院学报》 2013年第2期13-15,共3页 Journal of Minjiang University
基金 福建省教育厅科技规划项目(JA12360) 福建省教育厅科技规划项目(JB11146)
关键词 BERNSTEIN算子 收敛阶 绝对连续函数 Bernstein operators approximation rate absolutely continuous functions
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参考文献5

  • 1Cheng F. On the rate of convergence of Bernstein polynomials of functions of bounded variation [ J ]. Approx Theory, 1983,39: 259 - 274. 被引量:1
  • 2Bojanie R, Cheng F. Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation [ J ]. Math A- nal Appl,1989,141:136 - 151. 被引量:1
  • 3King J P. Positive linear operators which preserve[J]. Actal Math Hungar,2003,99:203 -208. 被引量:1
  • 4Zeng X M. On the rates of approximation of Bernstein type operators [ J ]. Approx Theory,2001,109:242 -256. 被引量:1
  • 5Zeng X M, Cheng F. First order absolute moment of Meyer-Ksnig and Zeller operators and their approximation for some absolutely continuous functions [ J ]. Math Slovaca,2011,61:635 - 644. 被引量:1

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