Quantitative Approximation Properties for Iterates of Moment Operator

Mathematical Modelling and Analysis

Carlo Bardaro¹  Ilaria Mantellini¹  Loris Faina¹ 

[1] Department of Mathematics and Informatics, University of Perugia, Via Vanvitelli 1, 06123 Perugia, Italy;

关键词: iterates of moment kernel;    Mellin derivatives;    generalized Hadamard integrals;    K-functional;   

DOI  :  10.3846/13926292.2015.1021720

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown