@misc{10481/83743,
year = {2023},
month = {5},
url = {https://hdl.handle.net/10481/83743},
abstract = {A construction of Marsden’s identity for UE-splines is developed and a complete proof is given. With the help of this identity, a new non-uniform quasi-interpolant that repro-duces the spaces of polynomial, trigonometric and hyperbolic functions are defined. Effi-cient quadrature rules based on integrating these quasi-interpolation schemes are derived and analyzed. Then, a quadrature formula associated with non-uniform quasi-interpolation along with Nyström’s method is used to numericallysolve Hammerstein and Fredholm integral equations. Numerical results that illustrate the effectiveness of these rules are pre-sented.},
organization = {Universidad de Granada / CBUA},
publisher = {Universidad de Granada},
keywords = {UE-splines},
keywords = {Marsden’s identity},
keywords = {Quasi-interpolation},
keywords = {Error estimate},
keywords = {Numerical integration},
keywords = {Numerical integration},
keywords = {Fredholm integral equation},
keywords = {Hammerstein integral equation},
title = {Non-uniform UE-spline quasi-interpolants and their application to the numerical solution of integral equations},
doi = {10.1016/j.apnum.2023.05.006},
author = {Nour, M.-Y. and Lamnii, A. and Zidna, A. and Barrera Rosillo, Domingo},
}