On the preservation of log convexity and log concavity under some classical Bernstein-type operators |
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| Authors: | F.G. Badí a, |
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| Affiliation: | aDepartamento de Métodos Estadísticos, Centro Politécnico Superior, University of Zaragoza, Zaragoza, Spain |
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| Abstract: | ![]()
This paper analyzes the preservation of both the log convexity and the log concavity under certain Bernstein-type operators. Some results are provided for the Bernstein, Szász, Baskakov, the gamma-type and the Weierstrass operators. Probabilistic methods support the proofs of these results. |
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| Keywords: | Log convexity Log concavity Bernstein-type operator |
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