Open AccessQUANTITATIVE APPROXIMATION PROPERTIES FOR ITERATES OF MOMENT OPERATOR
Author(s) -
Carlo Bardaro,
Loris Faina,
Ilaria Mantellini
Publication year - 2015
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2015.1021720
Subject(s) - iterated function , moment (physics) , mathematics , multiplicative function , hadamard transform , operator (biology) , type (biology) , pure mathematics , algebra over a field , mathematical analysis , physics , quantum mechanics , ecology , biochemistry , chemistry , repressor , biology , transcription factor , gene
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.