On Some Bivariate Gauss-Weierstrass Operators

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Constructive Mathematical Analysis
Volume:2 Issue:2
On Some Bivariate Gauss-Weierstrass Operators

On Some Bivariate Gauss-Weierstrass Operators

Authors : Grazyna KRECH, Ireneusz KRECH

Pages : 57-63

Doi:10.33205/cma.518582

View : 40 | Download : 8

Publication Date : 2019-06-01

Article Type : Research Paper

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 $insert ignore into journalissuearticles values(0, \infty); \times \mathbb{R}$, and bounded by certain exponential functions.
Keywords : Gauss Weierstrass operator, Linear operators, Approximation order

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