Article citationsMore >>

Berlinet, A., Thomas-Agnan, C.: Reproducing Kernel Hilbert Spaces in Probability and Statistics, Kluwer Academic Publisher, (2004).

has been cited by the following article:

Article

Interpolation Splines Minimizing Semi-Norm in K2(P2) Space

1Institute of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan

2Tashkent Institute of Railway Engineers, Tashkent, Uzbekistan


American Journal of Numerical Analysis. 2014, Vol. 2 No. 4, 107-114
DOI: 10.12691/ajna-2-4-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
Kholmat M. Shadimetov, Abdullo R. Hayotov, Azamov S. Siroj. Interpolation Splines Minimizing Semi-Norm in K2(P2) Space. American Journal of Numerical Analysis. 2014; 2(4):107-114. doi: 10.12691/ajna-2-4-3.

Correspondence to: Abdullo  R. Hayotov, Institute of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan. Email: hayotov@mail.ru

Abstract

In the present paper using S.L. Sobolev’s method interpolation splines minimizing the semi-norm in K2(P2) space are constructed. Explicit formulas for coefficients of interpolation splines are obtained. The obtained interpolation spline is exact for the functions and . Also we give some numerical results where we showed connection between optimal quadrature formula and obtained interpolation spline in the space K2(P2).

Keywords