| 一类Kantorovich型算子列的渐进展开 |
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| 引用本文： | 陈玲菊,林地旺.一类Kantorovich型算子列的渐进展开[J].厦门大学学报(自然科学版),2010,49(1). |
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| 作者姓名： | 陈玲菊 林地旺 |
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| 作者单位： | 1. 闽江学院数学系
2. 厦门大学数学科学学院,福建,厦门,361005 |
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| 基金项目： | 国家自然科学基金，厦门市科技计划项目 |
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| 摘 要： | 研究了Bleimann-Butzer-Hahn算子的Kantorovich型算子列K_n的逼近性质,作者运用分析和逼近论的方法以及不等式技巧得到了算子列K_n对可微函数类的渐进展开式与点态估计公式.特别地,作为结果的推论,建立了算子列K_n关于可微函数的一个Vonorovskya型渐进公式.
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| 关 键 词： | Bleimann-Butzer-Hahn算子 渐近性 可微函数 渐进公式 |
Asymptotic Expansion of a Kantorovich Variant of BBH Operators |
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| CHEN Ling-ju,LIN Di-wang.Asymptotic Expansion of a Kantorovich Variant of BBH Operators[J].Journal of Xiamen University(Natural Science),2010,49(1). |
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| Authors: | CHEN Ling-ju LIN Di-wang |
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| Institution: | CHEN Ling-ju~*,LIN Di-wang (School of Mathematical Sciences,Xiamen University,Xiamen 361005,China) |
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| Abstract: | The concern of this paper is some basic asymptotic properties of a Kantorovich variant of the Bleimann.Butzer and Hahn operators K_n.The asymptotic expansion and the rate of K_n convergence of for differentiable functions are presented by using some methods of analysis and inequation techniques.Specially,the Vonorovskya type asymptotic formula of K_n for differentiable functions is given in this paper as a deduction of the result. |
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| Keywords: | Bleimann-Butzer-Hahn operator asymptotic property differentiable function asymptotic formula |
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