Over-iterates of Bernstein-Stancu operators. (English) Zbl 1150.41013

Gonska, Heiner; Piţul, Paula; Raşa, Ioan

Calcolo 44, No. 2, 117-125 (2007).

In this paper the authors obtain convergence results for over-iterates of generalized Bernstein–Stancu operators. They use the spectrum of the operators involved. Therefore it is possible to make global statements on \([0,1]\). This is different from a previous result by I. A. Rus [Studia Univ. Babes-Bolyai. Math. 47(4), 101–104 (2002)].

Reviewer: Shun Sheng Guo (Shijiazhuang)

MSC:

41A36	Approximation by positive operators
47A75	Eigenvalue problems for linear operators

Keywords:

Bernstein-Stancu operators; eigenvalues; eigenfunctions; iterates

References:

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