Rate of approximation for the Bézier variant of Balazs Kantorovich operators

Mathematica Slovaca

Vijay Gupta¹  X. Zeng¹ 

关键词: rate of convergence;    Bézier variant;    bounded variation;    total variation;    Balazs-Kantorovich operator;   

DOI  :  10.2478/s12175-007-0029-0

学科分类：数学（综合）

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

【 摘 要 】

In the present paper we study the Bézier variant of the well known Balazs-Kantorovich operators L n,α(f,x), α ≥ 1. We establish the rate of convergence for functions of bounded variation. For particular value α = 1, our main theorem completes a result due to Agratini [Math. Notes (Miskolc) 2 (2001), 3–10].

【 授权许可】

Unknown