Polynomial and Non-Polynomial Splines with the Fourth Order of Approximation

Authors

I. G. Burova, St. Petersburg State University, 7/9 Universitetskaya nab., 199034, St.Petersburg, RussiaFollow
D. E. Zhilin, St. Petersburg State University, 7/9 Universitetskaya nab., 199034, St.Petersburg, RussiaFollow

Author Country (or Countries)

Russia

Abstract

This paper addresses the construction of polynomial and non-polynomial splines of the fourth order of approximation. Smooth non-polynomial splines of the minimal defect are constructed using preliminarily constructed Hermite-type splines. The estimates of the approximations are given and the constants they include are calculated.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140402

Recommended Citation

G. Burova, I. and E. Zhilin, D. (2020) "Polynomial and Non-Polynomial Splines with the Fourth Order of Approximation," Applied Mathematics & Information Sciences: Vol. 14: Iss. 4, Article 2.
DOI: http://dx.doi.org/10.18576/amis/140402
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss4/2