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有界变差函数的Szasz-Bézier算子收敛阶的估计 被引量:3

Estimate on rate of convergence of Szasz-Bézier Operaters for functions of bounded variation
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摘要 对有界变差函数f的Szasz-Bézier算子在区间[0,∞)上的收敛阶进行估计.在Zeng等人关于Szasz-Bézier算子的收敛阶研究的基础上,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. We study the approximation of Szasz-Bézier Operaters within [O, ∞) for functions of bounded variation function f, and obtain an accurate estimate on the rate of convergence of this type. Our result improves the result of Zeng by giving more exact estimate coefficients.
出处 《黄冈师范学院学报》 2005年第6期1-3,8,共4页 Journal of Huanggang Normal University
基金 泉州师院科研基金资助项目(02-I-007)资助
关键词 Szasz—Bézier算子 有界变差函数 收敛阶 系数估计 Szasz-Bézier operator bounded variation funetion rate of convergence estimate of coefficient
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参考文献4

  • 1Xiao-Ming Zeng. On the rate of Convergence of the Generalized Szasz type operators for functions of bounded variation[J]. J Math Anal Appl,1998,(226):309-325.
  • 2V Gupta. R P Pant. Rate of convergence for the modified Szasz-Mirakyan operators on functions of bounded variation[J]. J Maria Anal Appl, 1999,(233):476-483.
  • 3Xiao-Ming Zeng, Wang Tao, Rate of convergence of the integral type Lupas-Bezier operators [J].Kyungpook Mathematical Journal, 2003,43(4):593-604.
  • 4Guo 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.

同被引文献20

  • 1王平华.Szász算子的收敛速度的估计[J].阜阳师范学院学报(自然科学版),2001,18(3):9-10. 被引量:3
  • 2熊静宜,曹飞龙,杨汝月.多元Bernstein-Durrmeyer型多项式及其逼近特征[J].系统科学与数学,2004,24(4):469-478. 被引量:2
  • 3王平华.Bernstein-Bézier算子的点态逼近阶的估计[J].成都大学学报(自然科学版),2005,24(4):250-252. 被引量:3
  • 4王平华.有界变差函数的Durrmeyer-Bézier算子收敛阶的估计[J].大学数学,2007,23(1):75-78. 被引量:6
  • 5Zeng X M. On the rate of Convergence of the Generalized Szasz type operators for functions of bounded variation [ J]. J Math Anal Appl, 1998(226):309- 325.
  • 6Guo S S,Khan M K. On the rate of convergence of some operaters on functions of bounded vatiation [J] .J Approx Theory, 1989 (58) :90- 101.
  • 7Gupta V, Pant R P. Rate of convergence for the modified Szasz- Mirakyan operators on functions of bounded variation [ J ]. J Math Anal Appl, 1999(233) :476 - 483.
  • 8Shiryayev A N. Probability [ M ]. NewYork: Springer-Verlag, 1984.
  • 9Zeng X M.Approximation properties of Gamma operators[J].Journal of Mathematical Analysis and Applications,2005,311(2):389-401.
  • 10Bojanic R,Cheng F H.Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation[J].Journal of Mathematical Analysis and Applications,1989,141(1):136-151.

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