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Construction of optimal interpolation formulas in the Sobolev space. (English. Russian original) Zbl 1497.65022

J. Math. Sci., New York 264, No. 6, 782-793 (2022); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 4, 723-735 (2018).
Summary: In the present paper, using the discrete analogue of the differential operator \(\frac{d^{2m}}{dx^{2m}} \), optimal interpolation formulas are constructed in the \({L}_2^{(4)} (0, 1)\) space. The explicit formulas for coefficients of optimal interpolation formulas are obtained.

MSC:

65D05 Numerical interpolation
41A05 Interpolation in approximation theory
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