Approximation by Sublinear Operators

Acta Mathematica Universitatis Comenianae

George A. Anastassiou¹ 

[1] Department of Mathematical Sciences, University of Memphis, USA

DOI  :  

学科分类：数学（综合）

来源: Acta Mathematica Universitatis Comenianae

【 摘 要 】

Here we study the approximation of functions by positive sublinear operators under di¤erentiability. We produce general Jackson type inequalities under initial conditions. We apply these to a series of well-known Max-product operators. So our approach is quantitative by producing inequalities with their right hand sides involving the modulus of continuity of a high order derivative of the function under approximation.

【 授权许可】

CC BY