线性正态和非核素空间中hermite插值公式的基本多项式

IF 0.1 Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI:10.17721/2706-9699.2022.2.06

O. Kashpur

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引用次数: 0

摘要

在具有标量积的线性无限维空间和有限维欧几里得空间中，由高斯测度生成的具有最小范数的插值埃尔米特多项式包含基本多项式。研究了适当次多项式上的Hermit插值公式的精度。

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UNDAMENTAL POLYNOMIALS OF HERMITE’SINTERPOLATION FORMULA IN LINEAR NORMAL AND INEUCLIDEAN SPACES

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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Journal of Numerical and Applied Mathematics MATHEMATICS, APPLIED-

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