q-型Lupas-Kantorovich算子的逼近性质  

Approximation properties of q-type Lupas-Kantorovich operators

作　　者：王涛 李艳 WANG Tao;LI Yan(School of Mathematics and Statistics,Shandong University of Technology,Zibo 255049,Shandong Province,China;Zichuan Middle School,Zibo 255100,Shandong Province,China)

机构地区：[1]山东理工大学数学与统计学院,山东淄博255049 [2]淄博市淄川中学,山东淄博255100

出　　处：《浙江大学学报（理学版）》2023年第5期533-538,共6页Journal of Zhejiang University（Science Edition）

摘　　要：利用q-型微积分构造了一种基于q-型整数的q-型Lupas-Kantorovich算子,利用连续模研究了q-型Lupas-Kantorovich算子的逼近速度、q-型Lupas-Kantorovich算子加权逼近性质和加权统计收敛性质。We construct a q-type Lupas-Kantorovich operators based on the q-type integer and q-type calculus,investigate the rate of convergence of q-type Lupas-Kantorovich operators by modulus continuity as well as the properties of statistical convergence and weighted statistical convergence of the operators.

关 键 词：q-型Lupas-Kantorovich算子 q-型微积分 统计收敛 加权统计收敛 

分 类 号：O174.41[理学—数学]