APPROXIMATION BY DISCRETE SINGULAR OPERATORS

Here we study basic approximation properties with rates of our discrete versions of Picard, Gauss-Weierstrass, Poisson-Cauchy singular operators and of two other discrete operators. We prove uniform convergence of these operators to the unit operator. Also all these operators fulfill the global smoo...

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Autor principal:	Anastassiou,George A
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2013
Materias:	Discrete singular operator modulus of continuity uniform convergence global smoothness
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100006
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spelling	oai:scielo:S0719-064620130001000062018-10-08APPROXIMATION BY DISCRETE SINGULAR OPERATORSAnastassiou,George A Discrete singular operator modulus of continuity uniform convergence global smoothness Here we study basic approximation properties with rates of our discrete versions of Picard, Gauss-Weierstrass, Poisson-Cauchy singular operators and of two other discrete operators. We prove uniform convergence of these operators to the unit operator. Also all these operators fulfill the global smoothness preservation property. The discussed operators act on the space of uniformly continuous functions over the real line.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.15 n.1 20132013-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100006en10.4067/S0719-06462013000100006
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Discrete singular operator modulus of continuity uniform convergence global smoothness
spellingShingle	Discrete singular operator modulus of continuity uniform convergence global smoothness Anastassiou,George A APPROXIMATION BY DISCRETE SINGULAR OPERATORS
description	Here we study basic approximation properties with rates of our discrete versions of Picard, Gauss-Weierstrass, Poisson-Cauchy singular operators and of two other discrete operators. We prove uniform convergence of these operators to the unit operator. Also all these operators fulfill the global smoothness preservation property. The discussed operators act on the space of uniformly continuous functions over the real line.
author	Anastassiou,George A
author_facet	Anastassiou,George A
author_sort	Anastassiou,George A
title	APPROXIMATION BY DISCRETE SINGULAR OPERATORS
title_short	APPROXIMATION BY DISCRETE SINGULAR OPERATORS
title_full	APPROXIMATION BY DISCRETE SINGULAR OPERATORS
title_fullStr	APPROXIMATION BY DISCRETE SINGULAR OPERATORS
title_full_unstemmed	APPROXIMATION BY DISCRETE SINGULAR OPERATORS
title_sort	approximation by discrete 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=S0719-06462013000100006
work_keys_str_mv	AT anastassiougeorgea approximationbydiscretesingularoperators
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APPROXIMATION BY DISCRETE SINGULAR OPERATORS

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