Beta-type operators preserve shape properties

DOI10.1016/0304-4149(93)90104-CzbMath0781.60022MaRDI QIDQ1313124

José A. Adell, Jesús De La Cal, Francisco German Badía

Publication date: 17 February 1994

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

monotonicityconvexityBernstein-type operatorsgamma processesbeta-type probability distributions

Mathematics Subject Classification ID

Distribution theory (60E99) Markov processes (60J99)

Related Items (9)

PRESERVATION OF LOG-CONCAVITY AND LOG-CONVEXITY UNDER OPERATORS ⋮ Bernstein-Durrmeyer operators ⋮ Log concavity preservation by beta operator based on probability tools ⋮ Preservation properties by Bernstein-type operators. A probabilistic approach ⋮ On certain best constants for Bernstein-type operators ⋮ On the approximation of convex functions by Bernstein-type operators ⋮ On the preservation of log convexity and log concavity under some classical Bernstein-type operators ⋮ Log-concavity for Bernstein-type operators using stochastic orders ⋮ Generalized Bernstein-Durrmeyer operators and the associated limit semigroup

Cites Work

• A note on a Bernstein-type operator of Bleimann, Butzer, and Hahn
• A note on limiting properties of some Berstein-type operators
• Inverse beta and generalized Bleimann-Butzer-Hahn operators
• On Stancu-Mühlbach operators and some connected problems concerning probability distributions
• On a new positive linear polynomial operator
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