内蒙古民族大学学报（自然科学版）2025，Vol.40Issue(2)：92-96,5.DOI:10.14045/j.cnki.15-1220.2025.02.013
q-Bernstein-Kantorovich算子在紧圆盘的复逼近
Approximation by a Complex-Bernstein-Kantorovich Operator in Compact Disks
摘要
Abstract
In order to study the approximation properties to analytic functions of q-Bernstein-Kantorovich oper-ator in compact disks,according to the definition of q-Bernstein-Kantorovich operator in real space,its definition in complex space is given.On this basis,the properties of the q-Bernstein-Kantorovich operator,the correlation proper-ties of the complex space,recursive formula,the Bernstein inequality and the high order Cauchy integral formula are used to study the q-Bernstein-Kantorovich operator with reference to the method of several types of q-operators in the approximation properties of compact disks,the order of simultaneous approximation rate of the operator in com-pact disks is obtained.关键词
复q-Bernstein-Kantorovich算子/紧圆盘/逼近估计Key words
complex q-Bernstein-Kantorovich operator/compact disks/approximation rates分类
数理科学引用本文复制引用
乌日汗,韩领兄..q-Bernstein-Kantorovich算子在紧圆盘的复逼近[J].内蒙古民族大学学报（自然科学版）,2025,40(2):92-96,5.基金项目
内蒙古自治区自然科学基金项目(2020LH01007) （2020LH01007）
