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
Description
Summary: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.
ISSN:1392-6292
1648-3510

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