On Interpolation by Homogeneous Polynomials in ℝ 2

P. V. Manh; T. V. Long

doi:10.3103/S1068362319050030

On Interpolation by Homogeneous Polynomials in ℝ²

Authors: Manh P.V.¹, Long T.V.¹
Affiliations:
1. Hanoi National University of Education
Issue: Vol 54, No 5 (2019)
Pages: 268-275
Section: Functional Analysis
URL: https://journals.rcsi.science/1068-3623/article/view/228364
DOI: https://doi.org/10.3103/S1068362319050030
ID: 228364

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Abstract
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Abstract

In this paper, we study bivariate homogeneous interpolation polynomials. We show that the homogeneous Lagrange interpolation polynomial of a sufficiently smooth function converges to a homogeneous Hermite interpolation polynomial when the interpolation points coalesce.

Keywords

Homogeneous Lagrange interpolation, homogeneous Hermite interpolation

About the authors

P. V. Manh

Hanoi National University of Education

Author for correspondence.
Email: manhpv@hnue.edu.vn
Viet Nam, Hanoi

T. V. Long