Cai Qing-Bo, Xu Xiao-Wei
School of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou, China.
School of Mathematical Sciences, Xiamen University, Xiamen, China.
J Inequal Appl. 2017;2017(1):140. doi: 10.1186/s13660-017-1413-0. Epub 2017 Jun 17.
In this note, we give an elaboration of a basic problem on convergence theorem of [Formula: see text]-analogue of Bernstein-type operators. By some classical analysis techniques, we derive an exact class of [Formula: see text]-integer satisfying [Formula: see text] with [Formula: see text] and [Formula: see text] under [Formula: see text]. Our results provide an erratum to corresponding results on [Formula: see text]-analogue of Bernstein-type operators that appeared in recent literature.
在本笔记中，我们对伯恩斯坦型算子的[公式：见正文]类似物的收敛定理的一个基本问题进行了详细阐述。通过一些经典分析技术，我们推导出了在[公式：见正文]下满足[公式：见正文]且[公式：见正文]和[公式：见正文]的精确的[公式：见正文]整数类。我们的结果对最近文献中出现的关于伯恩斯坦型算子的[公式：见正文]类似物的相应结果进行了勘误。
