Mean convergence of interpolatory processes on an arbitrary system of nodes (Q1912676)

From MaRDI portal





scientific article; zbMATH DE number 878113
Language Label Description Also known as
English
Mean convergence of interpolatory processes on an arbitrary system of nodes
scientific article; zbMATH DE number 878113

    Statements

    Mean convergence of interpolatory processes on an arbitrary system of nodes (English)
    0 references
    0 references
    4 June 1996
    0 references
    Necessary conditions for mean convergence of Lagrange and Hermite-Fejér interpolation on an arbitrary system of nodes are given, which provides partial answers to Problem 11 of \textit{P. Turán} [J. Approximation Theory 29, 23-85 (1980; Zbl 0454.41001)].
    0 references
    0 references
    Lagrange interpolation
    0 references
    mean convergence
    0 references
    Hermite-Fejér interpolation
    0 references

    Identifiers