首先运用比文献[2]更简单的方法导出了一元Meyer-Knig and Zeller算子矩量的一个积分表示,然后利用这一方法建立了二元(单纯形上)Meyer-Knig and Zeller算子矩量的一个递推公式,最后作为这个递推公式的应用,给出了该算子的二阶、三...首先运用比文献[2]更简单的方法导出了一元Meyer-Knig and Zeller算子矩量的一个积分表示,然后利用这一方法建立了二元(单纯形上)Meyer-Knig and Zeller算子矩量的一个递推公式,最后作为这个递推公式的应用,给出了该算子的二阶、三阶矩量的积分表示.展开更多
In this paper, we derive the Baskakov-Kantorovich operators Vn(f; x) the complete asymptotic expansion in the form of all coefficients of n^-k, k =0, 1 … being calculated explicitly. As a corollary, we also get the...In this paper, we derive the Baskakov-Kantorovich operators Vn(f; x) the complete asymptotic expansion in the form of all coefficients of n^-k, k =0, 1 … being calculated explicitly. As a corollary, we also get the Voronovskaja-type result for the operators.展开更多
基金Supported by the Natural Science Foundation of Beijing(1072006)Supported by NSFC(10871017)
文摘In this paper, we derive the Baskakov-Kantorovich operators Vn(f; x) the complete asymptotic expansion in the form of all coefficients of n^-k, k =0, 1 … being calculated explicitly. As a corollary, we also get the Voronovskaja-type result for the operators.