Abstract
In this chapter we continue with the study of smooth Picard singular integral operators on the line regarding their convergence to the unit operator with rates in the L p norm, p ≥ 1. The related established inequalities involve the higher order L p modulus of smoothness of the engaged function or its higher order derivative. This chapter relies on [36].
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© 2011 Springer-Verlag Berlin Heidelberg
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Anastassiou, G.A. (2011). Quantitative L p Approximation by Smooth Picard Singular 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_12
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DOI: https://doi.org/10.1007/978-3-642-17098-0_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17097-3
Online ISBN: 978-3-642-17098-0
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