A class of linear positive operators in weighted spaces

Mathematica Slovaca

H. Gül İnce¹  Ali Olgun¹  Ayşegül Erençin¹ 

关键词: linear positive operators;    weighted spaces;    modulus of continuity;    q-derivative;   

DOI  :  10.2478/s12175-011-0072-8

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

In this paper, we introduce a class of linear positive operators based on q-integers. For these operators we give some convergence properties in weighted spaces of continuous functions and present an application to differential equation related to q-derivatives. Furthermore, we give a Stancu-type remainder.

【 授权许可】

Unknown