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The rate of convergence by a new type of Meyer-König and Zeller operators

Gupta V., Abel U.

Fasciculi Mathematici

2004

Nr 34

15-23

In the present paper we introduce a simple integral modification of Meyer-Konig and Zeller operators and study their rate of convergence, for functions of bounded variation.

An estimate of the rate of convergence of a Bézier variant of the Baskakov-Kantorovich operators for bounded variation functions

Abel U., Gupta V.

Demonstratio Mathematica

2003

Vol. 36, nr 1

123--136

In the present paper we introduce a Bézier variant of the Baskakov-Kantorovich operators and study the rate of convergence for functions of bounded variation. Furthermore, we present the complete asymptotic expansion for the Baskakov-Kantorovich operators.