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On the order of weighted approximation of unbounded functions by some generalizations of Gadjiev-Ibragimov operators

Ghorbanalizadeh A. M

Journal of Applied Analysis

2014

Vol. 20, nr 1

87--92

The generalization of Gadjiev–Ibragimov operators by means of Kantorovich and Kirov–Popova is considered and the order of weighted approximation of unbounded functions are obtained.

The Voronovskaya type theorem for the Baskakov-Kantorovich operators

Bogalska K.

Fasciculi Mathematici

1999

Nr 30

5-13

In this paper we give the Voronovskaya type theorem for the Baskakov-Kantorovich operators in the polynomial weighted spaces. The Baskakov operators were studied in [l]. The Voronovskaya type theorem for some operators are given in [2], [3].

Approximation theorems for some operators in weghted spaces of functions of two variables

Gurdek M., Kurczyńska J., Walczak Z.

Fasciculi Mathematici

1999

Nr 30

23-35

We study approximation properties of the Baskakov-Szasz-Mirakyan operators in some weighted spaces of functions of two variables. For these operators we give two theorems on the degree of approximation and the Voronovskaya type theorem. The Szasz-Mirakyan and Baskakov operators in the polynomial and exponential weighted spaces of functions of one variable were examined in [1]-[4]. Approximation theorems and the Voronovskaya type theorem for some operators ofthe Szasz-Mirakyan type were given in [5]-[7].