Improved error estimate and applications of the complete quartic spline

Alexandru Mihai Bica; Diana Curilă; Zoltan Satmari

doi:10.2478/gm-2019-0016

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Improved error estimate and applications of the complete quartic spline

General Mathematics

Volume 27 (2019): Issue 2 (December 2019)

By: Alexandru Mihai Bica, Diana Curilă and Zoltan Satmari

Open Access

|Mar 2020

Abstract

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.

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Articles in this issue

DOI: https://doi.org/10.2478/gm-2019-0016 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 71 - 83

Submitted on: Nov 1, 2019

Accepted on: Nov 25, 2019

Published on: Mar 20, 2020

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

deficient complete quartic spline,

error bound,

corrected Simpson’s quadrature rule

Related subjects:

Mathematics,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2020 Alexandru Mihai Bica, Diana Curilă, Zoltan Satmari, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 27 (2019): Issue 2 (December 2019)