Geodesic
Polynomials, orthogonal on non-uniform grids
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 3, pp. 29-42

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Asymptotic properties of polynomials $\hat p_n(t)$, orthogonal with weight $\Delta t_j$ on any finite set of $N$ points from segment $[-1,1]$ are investigated. Namely an asymptotic formula is proved in which asymptotic behaviour of these polynomials as $n$ tends to infinity together with $N$ is closely related to asymptotic behaviour of the Lasiandra polynomials. Furthermore are investigated the approximating properties of the sums by Fourier on these polynomials. 
@article{ISU_2011_11_3_a4,
     author = {A. A. Nurmagomedov},
     title = {Polynomials, orthogonal on non-uniform grids},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {29--42},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2011_11_3_a4/}
}
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A. A. Nurmagomedov. Polynomials, orthogonal on non-uniform grids. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 3, pp. 29-42. http://geodesic.mathdoc.fr/item/ISU_2011_11_3_a4/