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二元概率型算子族的收敛定理 被引量:1

Convergence Theorems of Twodimensional Probability Type Operators
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摘要 利用随机向量构造了一类二元概率型算子族。 A class of twodimensional probability type operators was constructed by means of twodimensional probability distributions. Furthermore,by using continuous type Poisson limit law and properties of probability distributions,the convergence rates of these probability type operators were given.
作者 曾晓明
机构地区 厦门大学数学系
出处 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 1997年第3期340-343,共4页 Journal of Xiamen University:Natural Science
基金 国家和福建省自然科学基金
关键词 二元概率型算子 随机向量 收敛阶 逼近 Twodimensional probability type operators,Random vector,Rate of Comvergence
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  • 1S S Guo and M K Khan. On the rate of convergence of some operators on functions of bounded variation[J]. J. Approx. Theory 1989,58:90 - 101.
  • 2F. Cheng, On the rate of convergence of Bernstein polynomials of functions of bounded variation[J]. J. Approx. Theory 1983,39:259- 274.
  • 3W. Feller. An introduction to probability theory and its applications II[M]. Wiley: New York 1966:503 - 521.
  • 4F Herzog and J D Hill. The Bernstein polynomials for discontinuous functions[Jl. Amer. J. Math. 1946,68:109 - 124.
  • 5X M Zeng. Bounds for Bernstein functions and Meyer-Konig and Zeller basis functions[J]. J. Math. Anal. 1998,219:364 - 376.

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