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Inverse Beta and Generalized Bleimann-Butzer-Hahn Operators

✍ Scribed by J.A. Adell; J. Delacal; M. Sanmiguel

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
280 KB
Volume
76
Category
Article
ISSN
0021-9045

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✦ Synopsis

In this paper we introduce two new Bernstein-type operators which are closely related to each other. The former is associated with the PΓ³lya distribution and includes as a particular case the Bleimann-Butzer-Hahn operator. The second is associated with the inverse beta probability distribution. Approximation properties for both operators concerning rates of convergence, preservation of Lipschitz constants, and monotonic convergence under convexity are given. In dealing with the last two topics, probabilistic methods play an important role. 1994 Academic Press. Inc.

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