Uniform convergence with rates of general singular operators
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George A. Anastassiou
ganastss@memphis.edu
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Razvan A. Mezei
rmezei@memphis.edu
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DOI:
https://doi.org/10.4067/s0719-06462013000200001Abstract
In this article we study the approximation properties of general singular integral operators over the real line. We establish their convergence to the unit operator with rates. The estimates are mostly sharp and they are pointwise or uniform. The established inequalities involve the higher order modulus of smoothness. We apply this theory to the trigonometric singular operators.
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Published
2013-06-01
How to Cite
[1]
G. A. Anastassiou and R. A. Mezei, “Uniform convergence with rates of general singular operators”, CUBO, vol. 15, no. 2, pp. 01–19, Jun. 2013.
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