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Construction of Optimal Interpolation Formulas in the Sobolev Space

Kh. M. ShadimetovInstitute of Mathematics, Uzbekistan Academy of SciencesA.R. HayotovInstitute of Mathematics, Uzbekistan Academy of SciencesF.A. NuralievInstitute of Mathematics, Uzbekistan Academy of Sciences
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In the present paper, using the discrete analog of the differential operator d2m/dx2m, optimal interpolation formulas are constructed in L2(4)(0, 1) space. The explicit formulas for coefficients of optimal interpolation formulas are obtained.

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