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On the Iterates of Some Bernstein-Type Operators

✍ Scribed by José A Adell; F Germán Badı́a; Jesús de la Cal

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
184 KB
Volume
209
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper, we establish two basic functional-type identities between the iterates of the Bleimann᎐Butzer᎐Hahn operator and those of the Bernstein Ž . operator, on the one hand, and the iterates of the modified Meyer᎐Konig and Zeller operator and those of the Baskakov operator, on the other. These identities allow us to transfer the properties of these operators from one to another. Attention is focused on the limit behavior of the iterates and the linear combinations of iterates of Fejer᎐Korovkin type.

📜 SIMILAR VOLUMES

On Certain Best Constants for Bernstein-
On Certain Best Constants for Bernstein-Type Operators
✍ Jesús de la Cal; Javier Cárcamo 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 141 KB

We discuss the generalized version of a best-constant problem raised by Z. Li in a note which recently appeared in Journal of Approximation Theory. Some best constants for well known Bernstein-type operators are obtained.