Displaying similar documents to “Approximation properties of a generalization of Bleimann, Butzer and Hahn operators.”

On modified Meyer-König and Zeller operators of functions of two variables

Lucyna Rempulska, Mariola Skorupka (2006)

Archivum Mathematicum

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This paper is motivated by Kirov results on generalized Bernstein polynomials given in (Kirov, G. H., A generalization of the Bernstein polynomials, Math. Balk. New Ser. bf 6 (1992), 147–153.). We introduce certain modified Meyer-König and Zeller operators in the space of differentiable functions of two variables and we study approximation properties for them. Some approximation properties of the Meyer-König and Zeller operators of differentiable functions of one variable are given in...

Properties of a new class of recursively defined Baskakov-type operators

Octavian Agratini (1998)

Archivum Mathematicum

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By starting from a recent paper by Campiti and Metafune [7], we consider a generalization of the Baskakov operators, which is introduced by replacing the binomial coefficients with other coefficients defined recursively by means of two fixed sequences of real numbers. In this paper, we indicate some of their properties, including a decomposition into an expression which depends linearly on the fixed sequences and an estimation of the corresponding order of approximation, in terms of...