Iterates of Bernstein type operators on a square with one curved side via contraction principle (Q2871102)

From MaRDI portal





scientific article; zbMATH DE number 6248839
Language Label Description Also known as
English
Iterates of Bernstein type operators on a square with one curved side via contraction principle
scientific article; zbMATH DE number 6248839

    Statements

    0 references
    0 references
    22 January 2014
    0 references
    weakly Picard operators
    0 references
    iterated Bernstein-type operators
    0 references
    square with curved side
    0 references
    contraction principle
    0 references
    convergence
    0 references
    Iterates of Bernstein type operators on a square with one curved side via contraction principle (English)
    0 references
    The paper under review is especially a continuation of one by \textit{P. Blaga} et al. [Stud. Univ. Babeş-Bolyai, Math. 55, No. 3, 51--68 (2010; Zbl 1224.41001)]. The authors consider some Bernstein-type operators as well as their iterates, their product and Boolean sum operators defined on a square with one curved side. For functions defined on a square with one curved side, they obtain convergence results using the techniques of the weakly Picard operators and the contraction principle.
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references