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局部有界函数的Baskakov-Bézier算子的收敛阶 被引量:1

On Rate of Convergence of Baskakov-Bézier Operators for Locally Bounded Functions
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摘要 对局部有界函数f的Baskakov-Bézier算子在区间[0,∞)上的收敛阶进行估计.在Zeng和Gupta关于Baskakov-Bézier算子的收敛阶研究的基础上,利用概率论中对k阶中心矩的估计方法,对其所给的估计结果作进一步的改进,得到更精确的系数估计. This paper studies the rate of convergence of Baskakov-Bezier operaters for locally bounded functions and obtains a accurate estimation on the rate of convergence of this type. the result improves the result of Zeng by giving more exactly estimate coefficients.
出处 《泉州师范学院学报》 2009年第6期6-9,共4页 Journal of Quanzhou Normal University
基金 福建省自然科学基金计划资助项目(2007J0188)
关键词 局部有界函数 Baskakov-Bézie算子 收敛阶 locally bounded functions Baskakov-Bezier operator rate of convergence
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参考文献8

  • 1ZENG X M, GUPTA V. Rate of convergence of Baskakov-Bezier type operators for locally bounded functions[J]. Computers and Mathematics with Applications, 2002,44 : 1445-1453. 被引量:1
  • 2GUO S,KHAN M K. On the rate of convergence of some operaters on functions of bounded variation[J]. J Approx Theory,1989,58: 90-101. 被引量:1
  • 3WANG P H,CAI Q B,LI Z W. Estimate on rate of convergence of the Integral type Lupas-Bezier operators[J]. Far East Journal of Mathematical Sciences, 2008,28 (1) : 189-196. 被引量:1
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共引文献6

同被引文献6

  • 1ZENG X M, GUPTA V.Rate of convergence of baskakov-bezier type operators for locally bounded functions [J]. Computers and Mathematics with Applications, 2002,44 : 1445-1453. 被引量:1
  • 2GUO S S, KHAN M K.On the rate of convergence of some operaters on functions of bounded variation [J ].J Approx Theory, 1989,58 : 90-101. 被引量:1
  • 3WANG P H, CAI Q B, LI Z W.Estimate on rate of convergence of the integral type lupas-bezier operators [J ] .Far East loumal of Mathematical Sciences, 2008.28 ( 1 ) : 189 - 196. 被引量:1
  • 4WANG Y, GUO S.Rate of approximation of functions of bounded variation by modified Lupas operators [J]. Bull Austral Math Soc, 1991,44: 183-192. 被引量:1
  • 5王平华.对积分型Lupas-Bézier算子收敛阶的估计[J].数学的实践与认识,2009,39(18):139-143. 被引量:3
  • 6黄东兰,王平华.Durrmeyer-Bézier算子收敛阶的新估计[J].泉州师范学院学报,2014,32(6):86-88. 被引量:3

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