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The voronovskaja type theorem for an extension of Szász-Mirakjan operators

Pop O. T., Bărbosu D., Miclăus D.

Demonstratio Mathematica

2012

Vol. 45, nr 1

107-115

Recently ,C.Mortici defined a class of linear and positive operators depending on a certain function (…) which generalize the well known Szasz Mirakjan operators. For these generalized operators we establish a Voronovskaja type theorem, the uniform convergence and the order of approximation, using the modulus of continuity.

Voronovskaja-type theorems and approximation theorems for a class of GBS operators

Pop O. T.

Fasciculi Mathematici

2009

Nr 42

91-108

In this paper we will demonstrate a Voronovskajatype theorems and approximation theorems for GBS operators associated to some linear positive operators. Through parti- cular cases, we obtain statements verified by the GBS operators of Bernstein, Schurer, Durrmeyer, Kantorovich, Stancu, Bleimann- Butzer-Hahn, Mirakjan-Favard-Szász, Baskakov, Meyer-König and Zeller, Ismail-May.