FUNDAMENTAL POLYNOMIALS OF HERMITE’S INTERPOLATION FORMULA IN LINEAR NORMAL AND IN EUCLIDEAN SPACES

  • O. F. Kashpur Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
Keywords: linear space, Euclidean space, Hermite’s interpolation formula, fundamental polynomials

Abstract

In a linear infinite-dimensional space with a scalar product and in a finite-dimensional Euclidean space the interpolation Hermite polynomial with a minimal norm, generated by a Gaussian measure, contains fundamental polynomials are shown. The accuracy of Hermit’s interpolation formulas on polynomials of the appropriate degree are researched.

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Published
2023-01-27
How to Cite
Kashpur, O. (2023). FUNDAMENTAL POLYNOMIALS OF HERMITE’S INTERPOLATION FORMULA IN LINEAR NORMAL AND IN EUCLIDEAN SPACES. Journal of Numerical and Applied Mathematics, 1(2), 50-58. https://doi.org/10.17721/2706-9699.2022.2.06