BIVARIATE POLYNOMIAL INTERPOLATION BASED ON LINE INTEGRALS

DOI: 10.18173/2354-1059.2025-0033

  • Nguyen Van Khiem and Do Van Toan
Keywords: Polynomial interpolation, Mean-value interpolation, Line integral.

Abstract

We study bivariate polynomial interpolation based on line integrals over line segments connecting two points on two fixed straight lines in the plane. We provide a characterization of the sets of segments that uniquely determine the interpolation polynomial. We also construct illustrative examples for specific cases.

điểm /   đánh giá
Published
2026-04-06
Issue
Vol. 70 No. 3 (2025): Tháng 9 năm 2025
Section
ARTICLES