<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Improved error estimate and applications of the complete quartic spline

Faculty of Informatics and Sciences. Department of Mathematics and Informatics

Faculty of Informatics and Sciences, Department of Mathematics and Informatics

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Improved error estimate and applications of the complete quartic spline"}

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...

Improved error estimate and applications of the complete quartic spline

Publié en ligne: 20 mars 2020

Pages: 71 - 83

Reçu: 01 nov. 2019

Accepté: 25 nov. 2019

DOI: https://doi.org/10.2478/gm-2019-0016

Mots clés
deficient complete quartic spline, error bound, corrected Simpson’s quadrature rule

© 2019 Alexandru Mihai Bica et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Improved error estimate and applications of the complete quartic spline

Publié en ligne: 20 mars 2020

Pages: 71 - 83

Reçu: 01 nov. 2019

Accepté: 25 nov. 2019

DOI: https://doi.org/10.2478/gm-2019-0016

Mots clésdeficient complete quartic spline, error bound, corrected Simpson’s quadrature rule

© 2019 Alexandru Mihai Bica et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
deficient complete quartic spline, error bound, corrected Simpson’s quadrature rule