Approximation of functions by nonlinear singular integral operators depending on two parameters

作者：Wachnicki Eugeniusz; Krech Grazyna^*

来源：Publicationes Mathematicae-Debrecen, 2018, 92(3-4): 481-494.

DOI：10.5486/PMD.2018.8080

• rate of convergence
• Voronovskaya-type theorem
• nonlinear singular operators
• locally compact groups
• Haar integral

The aim of this paper is to study the behavior of nonlinear singular integral operators of the form
T-w(f)(s) = integral K-G(w)(s - t, f (t))dt.
Here we estimate the rate of convergence at a point so in which a function f is continuous. This is an extension of the paper by SWIDERSKI and WACHNICKI [21].

• 出版日期2018