On barycentric interpolation. I. On the \(T\)-Lebesgue function and \(T\)-Lebesgue constant (Q343279)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On barycentric interpolation. I. On the \(T\)-Lebesgue function and \(T\)-Lebesgue constant |
scientific article; zbMATH DE number 6656705
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On barycentric interpolation. I. On the \(T\)-Lebesgue function and \(T\)-Lebesgue constant |
scientific article; zbMATH DE number 6656705 |
Statements
On barycentric interpolation. I. On the \(T\)-Lebesgue function and \(T\)-Lebesgue constant (English)
0 references
25 November 2016
0 references
The author proves theorems on the Lebesgue function and Lebesgue constant of barycentric Lagrange interpolation based on an arbitrary node-sytem in \([-1, 1]\). It turns out that the results are very similar to the ones known for the classical Lagrange interpolation. For Part II see [\textit{Á. P. Horváth} and \textit{P. Vértesi}, ibid. 148, No. 1, 147--156 (2016; Zbl 1374.41021)].
0 references
classical Lagrange interpolation
0 references
barycentric Lagrange interpolation
0 references
Lebesgue function
0 references
Lebesgue constant
0 references
0 references
