On Some Bivariate Gauss-Weierstrass Operators

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

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