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
ABI
Abstract
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.