On Some Bivariate Gauss-Weierstrass Operators

Authors : Grazyna Krech, Ireneusz Krech

Pages : 57-63

Doi:10.33205/cma.518582

View : 16 | Download : 9

Publication Date : 2019-06-01

Article Type : Research

Abstract :The aim of the paper is to investigate the approximation properties of bivariate generalization of Gauss-Weierstrass operators associated with the Riemann-Liouville operator. In particular, the approximation error will be estimated by these operators in the space of functions defined and continuous in the half-plane $(0, \infty) \times \mathbb{R}$, and bounded by certain exponential functions.
Keywords : Gauss-Weierstrass operator, Linear operators, Approximation order