Article

On the Optimal Interpolation of Functions

Kh. M. ShadimetovRomanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, UzbekistanN. H. MamatovaBukhara State University, 200118, Bukhara, Uzbekistan

Russian Mathematicsjournal2023en

ABI

Abstract

The construction of optimal interpolation formulas is discussed. First, an exact upper bound for the error of an interpolation formula in the Sobolev space is calculated. The existence and uniqueness are proved for the optimal interpolation formula with the smallest error. An algorithm for finding the coefficients of the optimal interpolation formula is presented. This algorithm makes it possible to find the optimal coefficients.

Topics

Advanced Numerical Analysis Techniques Iterative Methods for Nonlinear Equations Numerical Methods and Algorithms

Identifiers

DOI: 10.3103/s1066369x23120071

Citations and references

Cited by 3 13 references

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