Abstract
In this chapter we study the smooth Picard singular integral operators on the line of very general kind. We establish their convergence to the unit operator with rates. The estimates are mostly sharp and they are pointwise and uniform. The presented inequalities involve the higher order modulus of smoothness. To prove optimality we apply mainly the geometric moment theory method. This chapter relies on [34].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Anastassiou, G.A. (2011). Quantitative Uniform Convergence of Smooth Picard Singular Integral Operators. In: Intelligent Mathematics: Computational Analysis. Intelligent Systems Reference Library, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17098-0_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-17098-0_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17097-3
Online ISBN: 978-3-642-17098-0
eBook Packages: EngineeringEngineering (R0)