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Stability of quadratic interpolation polynomials in vertices of triangles without obtuse angles

Josef Dalík (1999)

Archivum Mathematicum

An explicit description of the basic Lagrange polynomials in two variables related to a six-tuple a 1 , , a 6 of nodes is presented. Stability of the related Lagrange interpolation is proved under the following assumption: a 1 , , a 6 are the vertices of triangles T 1 , , T 4 without obtuse inner angles such that T 1 has one side common with T j for j = 2 , 3 , 4 .

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