# Approximation by Singular Integrals

£ 60.00

G. Anastassiou and R. Mezei, University of Memphis, USA

The monograph deals with the study of the approximation of singular integrals to the identity unit operator. The authors study quantitatively the basic approximation properties of the general Picard, Gauss-Weierstrass and Poisson-Cauchy singular integral operators over the real line, which are not positive linear operators. In particular the authors study the rate of convergence of these operators, to the unit operator, as well as the related simultaneous approximation and the global smoothness preservation property of these operators.

2012 400pp Pbk 978-1-908106-19-3 £60.00/$80.00/€68.00

## Description

G. Anastassiou and R. Mezei, University of Memphis, USA

The monograph deals with the study of the approximation of singular integrals to the identity unit operator. The authors study quantitatively the basic approximation properties of the general Picard, Gauss-Weierstrass and Poisson-Cauchy singular integral operators over the real line, which are not positive linear operators. In particular the authors study the rate of convergence of these operators, to the unit operator, as well as the related simultaneous approximation and the global smoothness preservation property of these operators.

2012 400pp Pbk 978-1-908106-19-3 £60.00/$80.00/€68.00

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