@misc{10481/97079,
year = {2024},
month = {11},
url = {https://hdl.handle.net/10481/97079},
abstract = {In this paper we construct new univariate local C2 quasi-interpolating splines having specific
polynomial reproduction properties. The splines are directly determined by setting their
Bernstein-Bézier coefficients to appropriate combinations of the given data values. In certain
cases we obtain a family of quasi-interpolating operators satisfying the required conditions,
so we fix some extra properties (interpolation of the vertices, extra locality, extra polynomial
reproduction) in order to compute unique approximants. We also provide numerical results
confirming the theoretical ones},
organization = {Group FQM 191Matemática Aplicadafunded by the PAIDI programmeof the Junta de Andalucía, Spain},
organization = {INdAM Research group GNCS of Italy},
organization = {MUR Excellence Department Project awarded to the Department of Mathematics,University of Rome Tor Vergata, CUP E83C23000330006},
publisher = {Elsevier},
keywords = {Quasi-interpolation},
keywords = {Bernstein basis},
keywords = {BB-coefficients},
title = {Local C2-smooth spline quasi-interpolation methods},
doi = {10.1016/j.aml.2024.109346},
author = {Barrera Rosillo, Domingo and Eddargani, S. and Ibáñez, M.J. and Remogna, S.},
}