Geodesic
Construction of optimal interpolation formulas in the Sobolev space
Contemporary Mathematics. Fundamental Directions, Contemporary problems in mathematics and physics, Tome 64 (2018) no. 4, pp. 723-735

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In the present paper, using the discrete analog of the differential operator $\frac{d^{2m}}{dx^{2m}}$, optimal interpolation formulas are constructed in $L_2^{(4)}(0,1)$ space. The explicit formulas for coefficients of optimal interpolation formulas are obtained. 
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     author = {Kh. M. Shadimetov and A. R. Hayotov and F. A. Nuraliev},
     title = {Construction of optimal interpolation formulas in the {Sobolev} space},
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     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2018_64_4_a7/}
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Kh. M. Shadimetov; A. R. Hayotov; F. A. Nuraliev. Construction of optimal interpolation formulas in the Sobolev space. Contemporary Mathematics. Fundamental Directions, Contemporary problems in mathematics and physics, Tome 64 (2018) no. 4, pp. 723-735. http://geodesic.mathdoc.fr/item/CMFD_2018_64_4_a7/