@misc{10481/75119,
year = {2021},
month = {12},
url = {http://hdl.handle.net/10481/75119},
abstract = {In this paper, we construct a novel normalized B-spline-like representation for C2-continuous cubic spline space defined
on an initial partition refined by inserting two new points inside each sub-interval. The basis functions are compactly
supported non-negative functions that are geometrically constructed and form a convex partition of unity. With the help of the
control polynomial theory introduced herein, a Marsden identity is derived, from which several families of super-convergent
quasi-interpolation operators are defined.},
organization = {Junta de Andalucia},
organization = {University of Granada, Spain},
organization = {Universidad de Granada/CBUA},
publisher = {Elsevier},
keywords = {Bernstein-Bézier representation},
keywords = {Hermite interpolation},
keywords = {Normalized B-splines},
keywords = {Super-convergent quasi-interpolants},
keywords = {Control polynomials},
title = {A new approach to deal with C2 cubic splines and its application to super-convergent quasi-interpolation},
doi = {10.1016/j.matcom.2021.12.003},
author = {Barrera Rosillo, Domingo and Eddargani, Salah and Ibáñez Pérez, María José},
}