Improved error estimate and applications of the complete quartic spline
, and | Mar 20, 2020
Published Online: Mar 20, 2020
Page range: 71 - 83
Received: Nov 01, 2019
Accepted: Nov 25, 2019
DOI: https://doi.org/10.2478/gm-2019-0016
Keywords
© 2019 Alexandru Mihai Bica et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
In this paper an improved error bound is obtained for the complete quartic spline with deficiency 2, in the less smooth class of continuous functions. In the case of Lipschitzian functions, the obtained estimate improves the constant from Theorem 3, in J. Approx. Theory 58 (1989) 58-67. Some applications of the complete quartic spline in the numerical integration and in the construction of an iterative numerical method for fourth order two-point boundary value problems with pantograph type delay are presented.