Examinando por Autor "Garrancho, Pedro"
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Ítem Approximation rate and saturation under generalized convergence(American Institute of Mathematical Sciences, 2024-02) Garrancho, Pedro; Martínez-Sánchez, Francisco-Javier; Cárdenas-Morales, DanielIn this paper we prove a quantitative result about the convergence of sequences of functions de ned from linear operators. The notion of conver- gence used here is the one given in [8]. The operators will be assumed to satisfy a shape preserving property associated with certain generalized deriv- ative. We also study the saturation class, from the asymptotic condition that the sequence of operators ful lls. Finally, as applications, we show how the notion of weighted g-statistical convergence, recently studied by A. Adem and M. Altinok [3], can be moved to the setting of approximation theory. Besides, we give a non standard example that shows the applicability of the results.