Quantitative Approximation Properties for Iterates of Moment Operator

Quantitative Approximation Properties for Iterates of Moment Operator

Here we state a quantitative approximation theorem by means of nets of certain modified Hadamard integrals, using iterates of moment type operators, for functions f defined over the positive real semi-axis ]0, +∞[, having Mellin derivatives. The main tool is a suitable K-functional which is compati...

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Bibliographic Details
Main Authors: Carlo Bardaro, Loris Faina, Ilaria Mantellini
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2015-03-01
Series:Mathematical Modelling and Analysis
Subjects:
iterates of moment kernel
Mellin derivatives
generalized Hadamard integrals
K-functional
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/998
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spelling doaj-bf931c6776124b3e997c12ac9283d0022021-07-02T14:38:34ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102015-03-0120210.3846/13926292.2015.1021720Quantitative Approximation Properties for Iterates of Moment OperatorCarlo Bardaro0Loris Faina1Ilaria Mantellini2Department of Mathematics and Informatics, University of Perugia, Via Vanvitelli 1, 06123 Perugia, ItalyDepartment of Mathematics and Informatics, University of Perugia, Via Vanvitelli 1, 06123 Perugia, ItalyDepartment of Mathematics and Informatics, University of Perugia, Via Vanvitelli 1, 06123 Perugia, Italy Here we state a quantitative approximation theorem by means of nets of certain modified Hadamard integrals, using iterates of moment type operators, for functions f defined over the positive real semi-axis ]0, +∞[, having Mellin derivatives. The main tool is a suitable K-functional which is compatible with the structure of the multiplicative group ]0, +∞[. Some numerical examples and graphical representations are illustrated. https://journals.vgtu.lt/index.php/MMA/article/view/998iterates of moment kernelMellin derivativesgeneralized Hadamard integralsK-functional
collection DOAJ
language English
format Article
sources DOAJ
author Carlo Bardaro
Loris Faina
Ilaria Mantellini
spellingShingle Carlo Bardaro
Loris Faina
Ilaria Mantellini
Quantitative Approximation Properties for Iterates of Moment Operator
Mathematical Modelling and Analysis
iterates of moment kernel
Mellin derivatives
generalized Hadamard integrals
K-functional
author_facet Carlo Bardaro
Loris Faina
Ilaria Mantellini
author_sort Carlo Bardaro
title Quantitative Approximation Properties for Iterates of Moment Operator
title_short Quantitative Approximation Properties for Iterates of Moment Operator
title_full Quantitative Approximation Properties for Iterates of Moment Operator
title_fullStr Quantitative Approximation Properties for Iterates of Moment Operator
title_full_unstemmed Quantitative Approximation Properties for Iterates of Moment Operator
title_sort quantitative approximation properties for iterates of moment operator
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2015-03-01
description Here we state a quantitative approximation theorem by means of nets of certain modified Hadamard integrals, using iterates of moment type operators, for functions f defined over the positive real semi-axis ]0, +∞[, having Mellin derivatives. The main tool is a suitable K-functional which is compatible with the structure of the multiplicative group ]0, +∞[. Some numerical examples and graphical representations are illustrated.
topic iterates of moment kernel
Mellin derivatives
generalized Hadamard integrals
K-functional
url https://journals.vgtu.lt/index.php/MMA/article/view/998
work_keys_str_mv AT carlobardaro quantitativeapproximationpropertiesforiteratesofmomentoperator
AT lorisfaina quantitativeapproximationpropertiesforiteratesofmomentoperator
AT ilariamantellini quantitativeapproximationpropertiesforiteratesofmomentoperator
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