UNIFORM CONVERGENCE WITH RATES OF GENERAL SINGULAR OPERATORS

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 mod...

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Autores principales:	Anastassiou,George A, Mezei,Razvan A
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2013
Materias:	Best constant general singular integral trigonometric singular integral modulus of smoothness sharp inequality
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000200001
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spelling	oai:scielo:S0719-064620130002000012018-10-08UNIFORM CONVERGENCE WITH RATES OF GENERAL SINGULAR OPERATORSAnastassiou,George AMezei,Razvan A Best constant general singular integral trigonometric singular integral modulus of smoothness sharp inequality 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.15 n.2 20132013-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000200001en10.4067/S0719-06462013000200001
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Best constant general singular integral trigonometric singular integral modulus of smoothness sharp inequality
spellingShingle	Best constant general singular integral trigonometric singular integral modulus of smoothness sharp inequality Anastassiou,George A Mezei,Razvan A UNIFORM CONVERGENCE WITH RATES OF GENERAL SINGULAR OPERATORS
description	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.
author	Anastassiou,George A Mezei,Razvan A
author_facet	Anastassiou,George A Mezei,Razvan A
author_sort	Anastassiou,George A
title	UNIFORM CONVERGENCE WITH RATES OF GENERAL SINGULAR OPERATORS
title_short	UNIFORM CONVERGENCE WITH RATES OF GENERAL SINGULAR OPERATORS
title_full	UNIFORM CONVERGENCE WITH RATES OF GENERAL SINGULAR OPERATORS
title_fullStr	UNIFORM CONVERGENCE WITH RATES OF GENERAL SINGULAR OPERATORS
title_full_unstemmed	UNIFORM CONVERGENCE WITH RATES OF GENERAL SINGULAR OPERATORS
title_sort	uniform convergence with rates of general singular operators
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2013
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000200001
work_keys_str_mv	AT anastassiougeorgea uniformconvergencewithratesofgeneralsingularoperators AT mezeirazvana uniformconvergencewithratesofgeneralsingularoperators
_version_	1714206782762516480

UNIFORM CONVERGENCE WITH RATES OF GENERAL SINGULAR OPERATORS

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