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Bernstein-Bezier-Kantorovich算子列的逼近阶估计 被引量:3

Estimate on the Rate of Approximation of Bernstein-Bezier-Kantorovich Operators
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摘要 文章研究了Bernstein-Bezier-Kantorovich算子列关于一般有界函数的逼近阶估计,得到一个其收敛阶的精确估计公式.有界变差函数的逼近情况成为本文结果的特例.文章的研究拓展了文献[J.Approx.Theory95(1998),369-387]的工作. The rate of approximation of Bernstein-Bezier-Kantorovich operators L^((α))_n for bounded functions is studied and an estimate formula on the rate of convergence of this type approximation is given. Our result includes the approximation of functions of bounded variation as a special case.Our study extends Zeng and Piriou's work on [J. Approx. Theory 95 (1998),369-387].
出处 《太原师范学院学报(自然科学版)》 2005年第2期1-4,共4页 Journal of Taiyuan Normal University:Natural Science Edition
基金 福建省自然科学基金资助编号A00210004.
关键词 Bernstein-Bezier-Kantorovich算子 逼近阶 Bézier基函数 Lebesgue—Stieltjes积分 Bernstein-Bezier-Kantorovich operators rate of approximation Bezier basis functions Lebesgue-Stieltjes integral
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  • 1杨军,曾晓明.关于广义Durrmeyer-Bézier算子的L_p逼近[J].厦门大学学报(自然科学版),2004,43(6):753-756. 被引量:4
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  • 6Abel U, Ivan M. Best constant for a Bleinmann-Butzer- Hahn moment estimation[J]. East J Approx, 2000,6 : 1-7.
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  • 8Bleimann G, Butzer P L, Hahn L. A Bernstein-type operator approximating continuous functions on the semi-axis [J]. Indag Math, 1980, 42: 255-262.
  • 9Bojanic R, Vuilleumier M. On the rate of convergence of Fourier-Legendre series of functions of bounded variation [J]. Approx Theory, 1981 (31): 67-79.
  • 10Cheng F. On the rate of convergence of bernstain polynomials of bounded variation [J]. Approx Theory, 1983 (39): 259-274.

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