Glasnik Matematicki, Vol. 43, No.1 (2008), 179-194.

VORONOVSKAJA-TYPE THEOREM FOR CERTAIN GBS OPERATORS

Ovidiu T. Pop

Abstract.   In this paper we will demonstrate a Voronovskaja-type theorem and approximation theorem for GBS operator associated to a linear positive operator.

2000 Mathematics Subject Classification.   41A10, 41A25, 41A35, 41A36.

Key words and phrases.   Linear positive operators, GBS operators, the first order modulus of smoothness, Voronovskaja-type theorem, approximation theorem.

DOI: 10.3336/gm.43.1.12

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