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Bernstein多项式导数的整体收敛速度 被引量:3

Global Rate of Convergence for Dervatives of Bernstein Polynomials
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摘要 研究Bernstein多项式的导数对可导函数的整体逼近,利用K-泛函和光滑模的方法。 The global approximation of dervatives of Bernstein polynomials for the derivable functions is studied. By methods of K functional and moduli of smoothness the direct and inverse theorems of simuitaneous approximation are established.
出处 《西南民族学院学报(自然科学版)》 1998年第4期358-362,共5页 Journal of Southwest Nationalities College(Natural Science Edition)
关键词 导数 收敛速度 伯恩斯坦多项式 逼近 光滑模 Bernstein polynomials,dervatives,convergence,direct theorem,inverse theorem
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同被引文献12

  • 1[1]CAO JIADING.A generalization of the Bernstein Polynomials[J].J.Math.Analy.&Appl.,1997,209:140-146.
  • 2[2]DITZIAN Z,TOTIK V.Moduli ofSmoothness[M].New York:Springer-Verlag,1987:7-11.
  • 3[3]DITZIAN Z.A global inverse theorems for combinations of Bernstein polynomials[J].Jour Approx Theory,1979,26:277-292.
  • 4[5]LORENTZ G G.Bernstein Polynomials Toronto[M].Univ of Toronto Press,1953:26-27.
  • 5[6]BERENS H,LORENTZ G G.Inverse theorems for Bernstein polynomials[J].Indiana Univ math J,1972,21:693-709.
  • 6谢庭藩 周颂平.实函数逼近论[M].杭州:杭州大学出版社,1997.266.
  • 7JIADING CAO A. generalization of the Bernstein polynomials[J]. J Math Anal Appl, 1997, 209:140-146.
  • 8DITZIAN Z, TOTIK V. Moduli of Smoothness[M]. Springer-Verlag, New York, Berlin, etc, 1987:1-4, 79-86, 168-179.
  • 9LORENTZ G G. Bernstein Polynomials[M]. Toronto, Univ of Toronto Press. 1953:26-27.
  • 10CAO JIADING. A generalization of the Bernstein polynomials[J]. J Math Analy & Appl, 1997,209: 140-146.

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