Abstract: Here we consider several approaches for constructing approximations of a function by the polynomial and the trigonometric splines of the fifth order. We compare the approximations to the left, the right and the mid-le minimal polynomial splines, the approximations to the left, the right and the middle minimal trigonometrical splines, the approximations to the left, the middle polynomial integro-differential splines, and the approximation to the left, the right and the middle trigonometrical integro-differential splines. The quadrature formulas are represented. The results of some calculations are done.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
WSEAS Transactions on Advances in Engineering Education, ISSN / E-ISSN: 1790-1979 / 2224-3410, Volume 12, 2015, Art. #13
I. G. Burova, T. O. Evdokimova, "On Approximations by Polynomial and Trigonometrical Splines of the Fifth Order," WSEAS Transactions on Advances in Engineering Education, vol. 12, pp. 124-136, 2015, DOI:
I. G. Burova, T. O. Evdokimova. On Approximations by Polynomial and Trigonometrical Splines of the Fifth Order.
WSEAS Transactions on Advances in Engineering Education. 2015;12:124-136.