关于格子点数学期望算子及其线性组合的局部Nikolskii常数

LOCAL NIKOLSKII CONSTANTS FOR A SPECIAL CLASSOF LATTICE POINT OPERATORS AND ITSCOMBINATIONS

讨论了一类特殊逼近算子──格子点数学期望算子及其线性组合的局部Ｍｋｏｌｓｋｉｉ常数．Ｂｅｍｓｔｅｉｎ算子，ＢａｓｋａｋｏｖＳｚ钻ｚ，Ｍｉｒａ均ａｎ算子等等名算子都可作为这类算子的特例。同时也得到了这些算子的局部Ｎｉｋｏｌｓｌｉｉ常数。

The local Nikolskii constants of a class of special approximation operators-lattice point mathematical expectation operators and its combinations are considered. Some well known operators (e. g., the Bemstein, Bascakov and Szasz- Mrakjan operators etc.) are special cases of a class of the lattice point operators. The local Nikolskii constants of these well known operators are obtained.