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https://hdl.handle.net/10953/3181
Title: | Approximation rate and saturation under generalized convergence |
Authors: | Garrancho, Pedro Martínez-Sánchez, Francisco-Javier Cárdenas-Morales, Daniel |
Abstract: | In 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. |
Keywords: | Korovkin-type results Generalized convergence Saturation class |
Issue Date: | Feb-2024 |
metadata.dc.description.sponsorship: | This work is partially supported by the Spanish government Research Project PGC2018-097621-B-I00, and by Junta de Andalucía Research Group FQM-0178. |
Publisher: | American Institute of Mathematical Sciences |
Citation: | P. Garrancho, F.-J. Martínez-Sánchez, D. Cárdenas-Morales, Approximation rate and saturation under generalized convergence, Mathematical Foundations of Computing 2024, Volume 7, Issue 1: 148-157. |
Appears in Collections: | DM-Artículos |
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