Displaying similar documents to “Error estimates and the Voronovskaja theorem for modified Szász-Mirakyan operators”

The Voronovskaya theorem for some linear positive operators in exponential weight spaces.

Lucyna Rempulska, Mariola Skorupka (1997)

Publicacions Matemàtiques

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In this note we give the Voronovskaya theorem for some linear positive operators of the Szasz-Mirakjan type defined in the space of functions continuous on [0,+∞) and having the exponential growth at infinity. Some approximation properties of these operators are given in [3], [4].

A note on the convergence of partial Szász-Mirakyan type operators

Monika Herzog (2014)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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In this paper we study approximation properties of partial modified Szasz-Mirakyan operators for functions from exponential weight spaces. We present some direct theorems giving the degree of approximation for these operators. The considered version of Szász-Mirakyan operators is more useful from the computational point of view.

On a class of Szász-Mirakyan type operators

Zbigniew Walczak (2008)

Czechoslovak Mathematical Journal

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The actual construction of the Szász-Mirakyan operators and its various modifications require estimations of infinite series which in a certain sense restrict their usefulness from the computational point of view. Thus the question arises whether the Szász-Mirakyan operators and their generalizations cannot be replaced by a finite sum. In connection with this question we propose a new family of linear positive operators.