@Article{NMTMA-7-1,
author = {},
title = {On the Approximation of the Derivatives of Spline Quasi-Interpolation in Cubic Spline $S_3^{1,2}(∆_{mn}^{(2)})$},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2014},
volume = {7},
number = {1},
pages = {1--22},
abstract = {<p style="text-align: justify;">In this paper, based on the basis composed of two sets of splines with distinct local supports, cubic
spline quasi-interpolating operators are reviewed on nonuniform type-2 triangulation. The variation diminishing operator is defined by discrete linear functionals based on a fixed number of triangular mesh-points, which can reproduce any polynomial of nearly best degrees. And by means of the modulus of continuity, the estimation of the operator approximating a real sufficiently smooth function is reviewed as well. Moreover, the derivatives of the nearly optimal variation diminishing operator can approximate that of the real sufficiently smooth function uniformly over quasi-uniform type-2 triangulation. And then the convergence results are worked out.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2014.y12035},
url = {https://global-sci.com/article/90591/on-the-approximation-of-the-derivatives-of-spline-quasi-interpolation-in-cubic-spline-s-312-mn2}
}