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On the preservation of log convexity and log concavity under some classical Bernstein-type operators

  • Published:2009-12 Issue:2 Volume:360 Page:485-490
  • ISSN:0022-247X
  • Container-title:Journal of Mathematical Analysis and Applications
  • language:en
  • Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Badía F.G.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference17 articles.

1. Beta-type operators preserve shape properties;Adell;Stochastic Process. Appl.,1993

2. Using stochastic processes for studying Bernstein-type operators;Adell;Rend. Circ. Mat. Palermo (2) Suppl.,1993

3. Upper estimates in direct inequalities for Bernstein-type operators;Adell;J. Approx. Theory,2001

4. Logconcavity versus logconvexity: A complete characterization;An;J. Econom. Theory,1998

5. Preservation of the reliability classes under mixtures of renewal processes;Badía;Probab. Engrg. Inform. Sci.,2008

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Preservation of the log concavity by Bernstein operator with an application to ageing properties of a coherent system;Journal of Computational and Applied Mathematics;2024-06

2. Log concavity preservation by beta operator based on probability tools;Journal of Mathematical Analysis and Applications;2023-09

3. Log-concavity preserving property of Bernstein operators and Bernstein semigroup;Journal of Mathematical Analysis and Applications;2020-09

4. PRESERVATION OF LOG-CONCAVITY AND LOG-CONVEXITY UNDER OPERATORS;Probability in the Engineering and Informational Sciences;2020-02-14

5. Conditions on unimodality and logconcavity for densities of coherent systems with an application to Bernstein operators;Journal of Mathematical Analysis and Applications;2018-11
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