Combining interpolation schemes and Lagrange interpolation on the unit sphere in \(\mathbb{R}^{N+1} \)

DOI10.1007/s11253-022-02088-0OpenAlexW4308394239MaRDI QIDQ2098839

H. L. Dinh, Van Manh Phung, van Thien Nguyen

Publication date: 22 November 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-022-02088-0

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Computational aspects in algebraic geometry (14Qxx) Approximations and expansions (41Axx)

Cites Work

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• Polynomial interpolation in \(\mathbb R^2\) and on the unit sphere in \(\mathbb R^3\)
• Multipoint Taylor interpolation
• On certain configurations of points in \(\mathbb{R}{}^ n\) which are unisolvent for polynomial interpolation
• Polynomial interpolation on the unit sphere and on the unit ball
• On bivariate Hermite interpolation and the limit of certain bivariate Lagrange projectors
• Taylorian points of an algebraic curve and bivariate Hermite interpolation
• On Lattices Admitting Unique Lagrange Interpolations
• A continuity property of multivariate Lagrange interpolation
• Hermite interpolation on the unit sphere and limits of Lagrange projectors
• On the continuity of multivariate Lagrange interpolation at natural lattices

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