一类Kantorovich型算子列的渐进展开

Asymptotic Expansion of a Kantorovich Variant of BBH Operators

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.

The concern of this paper is some basic asymptotic properties of a Kantorovich variant of the Bleimann,Butzer and Hahn operators Kn. The asymptotic expansion and the rate of Kn convergence of for differentiahle functions are presented by using some methods of analysis and inequation techniques. Specially, the Vonorovskya type asymptotic formula of Kn for differentiable functions is given in this paper as a deduction of the result.