Preservation of the log concavity by Bernstein operator with an application to ageing properties of a coherent system

DOI10.1016/J.CAM.2023.115748MaRDI QIDQ6489259

Ji Hwan Cha, Carmen Sangüesa, Francisco German Badía, Hyunju Lee

Publication date: 19 April 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bernstein operatorcoherent systemageing propertieslog concavity

Mathematics Subject Classification ID

Approximation with constraints (41A29) Approximation by polynomials (41A10) Approximation by positive operators (41A36)

Cites Work

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• Preservation of logarithmic convexity by positive operators
• On Szász-Mirakyan operators preserving \(e^{2ax}\), \(a>0\)
• On the preservation of log convexity and log concavity under some classical Bernstein-type operators
• Conditions on unimodality and logconcavity for densities of coherent systems with an application to Bernstein operators
• Log-concavity preserving property of Bernstein operators and Bernstein semigroup
• Log-concavity for Bernstein-type operators using stochastic orders
• Life distributions. Structure of nonparametric, semiparametric, and parametric families.
• System signatures and their applications in engineering reliability
• Preservation of distributional properties of component lifetimes by system lifetimes
• On Closure of the IFR Class Under Formation of Coherent Systems
• Bivariate characterization of some stochastic order relations
• Some numerical applications of generalized Bernstein operators
• PRESERVATION OF LOG-CONCAVITY AND LOG-CONVEXITY UNDER OPERATORS
• On the behavior of the failure rate and reversed failure rate in engineering systems

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