Geodesic
Stability of quadratic interpolation polynomials in vertices of triangles without obtuse angles
Archivum mathematicum, Tome 35 (1999) no. 4, pp. 285-297

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An explicit description of the basic Lagrange polynomials in two variables related to a six-tuple $a^1,\dots ,a^6$ of nodes is presented. Stability of the related Lagrange interpolation is proved under the following assumption: $a^1,\dots ,a^6$ are the vertices of triangles $T_1,\dots ,T_4$ without obtuse inner angles such that $T_1$ has one side common with $T_j$ for $j=2,3,4$.
Classification : 41A05, 41A10, 41A63, 65D05
Keywords: quadratic Lagrange interpolation in 2D; stability 
@article{ARM_1999__35_4_a0,
     author = {Dal{\'\i}k, Josef},
     title = {Stability of quadratic interpolation polynomials in vertices of triangles without obtuse angles},
     journal = {Archivum mathematicum},
     pages = {285--297},
     publisher = {mathdoc},
     volume = {35},
     number = {4},
     year = {1999},
     mrnumber = {1744516},
     zbl = {1051.41002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1999__35_4_a0/}
}
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Dalík, Josef. Stability of quadratic interpolation polynomials in vertices of triangles without obtuse angles. Archivum mathematicum, Tome 35 (1999) no. 4, pp. 285-297. http://geodesic.mathdoc.fr/item/ARM_1999__35_4_a0/