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一种推广的Bernstein型算子的性质 被引量:3

Properties of Generalized Bernstein Operators
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摘要 研究了一种推广的Bernstein型算子 ,给出了这种算子关于函数单调性。 A generalized Bernstein operator is investigated. Its property related to monotonicity, convexity and modulus of continuity are preserved by the operators.
作者 李江波
出处 《宁波大学学报(理工版)》 CAS 2002年第4期7-9,共3页 Journal of Ningbo University:Natural Science and Engineering Edition
关键词 BERNSTEIN型算子 函数单调性 凸性 连续模 保持性质 BERNSTEIN多项式 Bernstein operator monotonicity convexity modulus of continuity
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参考文献5

  • 1Jia-ding Cao. A generalization of the Bernstein polynomials[J]. J Math Anal Appl, 1997,209:140 ~ 146.
  • 2Lorentz G G. Bernstein polynomial[M]. Toronto: University of Toronto Press, 1953.
  • 3Davis P J. Interpolation and approximation[J]. Balisdell,Wal-than, Mass, 1963,108~ 114.
  • 4Brown B M, Elliott D, Paget D F. Lipschitz constants tor the Bernstein polynomials of a Lipschitz continuous function [J].J A T, 1987,49:196 ~ 199.
  • 5Zhongkai Li. Bernstein polynomials and modulus of continuity[J]. J A T, 2000,102:171 ~ 174.

同被引文献13

  • 1杨汝月,熊静宜.Sikkema-Kantorovich多项式的 L^p 逼近[J].中国计量学院学报,2000,11(2):115-123. 被引量:4
  • 2曹飞龙.Szsz-Mirakjan算子的Lipschitz性质[J].西南民族学院学报(自然科学版),1994,20(1):19-21. 被引量:3
  • 3LI Zhong—kai.Bernstein polynomials and modulus of continuity[J].J A T,2000,102:171-174.
  • 4TIMAN A.F.Theory of Approximation of Functions of Real Variables [M].Moskva:Phizmatgiz,1960.250-251.
  • 5CAO Jia.ding.A generalization of the Bernstein polynomials[J].J,Math Anal Appl,1997,209:140-146.
  • 6BROWN B M,ELLIOTT D,PAGET D F.Lipschitz constants for the Bernstein polynomials of fl Lipschitz continuous function[J].J A T,1987,49:196—199.
  • 7CAO JIADING. A generalization of the Bernstein polynomials[J]. J Math Anal Appl, 1997,209:140-146.
  • 8BROWN B M, ELLIOTT D, PAGET D F. Lipschitz constants for the Bernstein polynomials of a Lipschitz continuous function[J]. J Approxi Theory, 1987,49: 196-199.
  • 9LI ZHONGKAI. Bernstein polynomials and modulus of continuity[J]. J Approxi Theory, 2000,102 : 171-174.
  • 10刘生贵,薛银川.关于一类广义Bernstein多项式的逼近[J].西南民族大学学报(自然科学版),2007,33(6):1301-1306. 被引量:2

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