@article{ajna2014243,
author={{Shadimetov, Kholmat M. and Hayotov, Abdullo R. and Siroj, Azamov S.},
title={Interpolation Splines Minimizing Semi-Norm in <i>K</i><SUB><i>2</i></SUB>(<i>P</i><SUB><i>2</i></SUB>) Space},
journal={American Journal of Numerical Analysis},
volume={2},
number={4},
pages={107--114},
year={2014},
url={http://pubs.sciepub.com/ajna/2/4/3},
issn={2328-7292},
abstract={In the present paper using S.L. Sobolev¡¯s method interpolation splines minimizing the semi-norm in <i>K</i><SUB><i>2</i></SUB>(<i>P</i><SUB><i>2</i></SUB>) space are constructed. Explicit formulas for coefficients of interpolation splines are obtained. The obtained interpolation spline is exact for the functions <img src=image/abs1.png></img> and <img src=image/abs2.png></img>. Also we give some numerical results where we showed connection between optimal quadrature formula and obtained interpolation spline in the space <i>K</i><SUB><i>2</i></SUB>(<i>P</i><SUB><i>2</i></SUB>).},
doi={10.12691/ajna-2-4-3}
publisher={Science and Education Publishing}
}