Abstract
We consider a sequence of positive linear operators which approximates continuous functions having exponential growth at infinity. For these operators, we give a Voronovskaya‐type theorem
Highlights
Sequences of positive linear operators are often used in approximation theory
Let (Ln)n≥1 be such a sequence, where the operators Ln are defined on a suitable linear subspace E of C(I), I ⊂ R an interval
An important problem is the investigation of the limit lim n n→∞
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Summary
A VORONOVSKAYA-TYPE THEOREM FOR A POSITIVE LINEAR OPERATOR
ALEXANDRA CIUPA Received 23 March 2005; Revised 20 December 2005; Accepted 4 January 2006.
Introduction
A Voronovskaya-type theorem for a positive linear operator
A Voronovskaya-type theorem
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