Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators

Abstract A very general positive sublinear Shilkret integral type operator is given through a convolution-like iteration of another general positive sublinear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, conver...

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Autor principal:	Anastassiou,George A.
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2018
Materias:	Jackson type inequality Shilkret integral modulus of continuity shift invariant global smoothness preservation quantitative approximation
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000100001
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spelling	oai:scielo:S0719-064620180001000012018-10-16Approximation by Shift Invariant Univariate Sublinear-Shilkret OperatorsAnastassiou,George A. Jackson type inequality Shilkret integral modulus of continuity shift invariant global smoothness preservation quantitative approximation Abstract A very general positive sublinear Shilkret integral type operator is given through a convolution-like iteration of another general positive sublinear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates. Additionally, two examples of very general specialized operators are presented fulfilling all the above properties, the higher order of approximation of these operators is also considered.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.20 n.1 20182018-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000100001en10.4067/S0719-06462018000100001
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Jackson type inequality Shilkret integral modulus of continuity shift invariant global smoothness preservation quantitative approximation
spellingShingle	Jackson type inequality Shilkret integral modulus of continuity shift invariant global smoothness preservation quantitative approximation Anastassiou,George A. Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators
description	Abstract A very general positive sublinear Shilkret integral type operator is given through a convolution-like iteration of another general positive sublinear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates. Additionally, two examples of very general specialized operators are presented fulfilling all the above properties, the higher order of approximation of these operators is also considered.
author	Anastassiou,George A.
author_facet	Anastassiou,George A.
author_sort	Anastassiou,George A.
title	Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators
title_short	Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators
title_full	Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators
title_fullStr	Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators
title_full_unstemmed	Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators
title_sort	approximation by shift invariant univariate sublinear-shilkret operators
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2018
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000100001
work_keys_str_mv	AT anastassiougeorgea approximationbyshiftinvariantunivariatesublinearshilkretoperators
_version_	1714206798426144768

Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators

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