Polynomial interpolation at points of a geometric mesh on a triangle

DOI10.1017/S0308210500026536zbMath0639.65006MaRDI QIDQ3780341

No author found.

Publication date: 1988

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplepolynomial interpolationgeometric progressiondata points in geometric spacingNeville-Aitken-Romberg algorithmq-forward difference interpolation formulaStirling-Schellbach formula

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

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\(B\)-splines with geometric knot spacings, Convexity and generalized Bernstein polynomials, Homogeneous polynomial splines, Multivariate polynomial interpolation under projectivities. I: Lagrange and Newton interpolation formulas, A de Casteljau algorithm for generalized Bernstein polynomials, Multivariate polynomial interpolation under projectivities. II: Neville- Aitken formulas, A generalization of the Bernstein polynomials, On the convergence of Lupaş \((p ,q)\)-Bernstein operators via contraction principle, Approximation by \(q\)-Durrmeyer operators, Construction of lattices for Lagrange interpolation in projective space, A generalization of the Bernstein polynomials based on the q-integers

Cites Work

• Bounding the Lebesgue function for Lagrange interpolatin in a simplex
• Interpolation on the triangle
• On polynomial interpolation at the points of a geometric progression
• Construction of basis functions in the finite element method
• Unnamed Item