Log-concavity preserving property of Bernstein operators and Bernstein semigroup

Komisarski, A

Komisarski, A (corresponding author), Univ Lodz, Dept Probabil Theory & Stat, Fac Math & Comp Sci, Ul Banacha 22, PL-90238 Lodz, Poland.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020; 489 (1):

Abstract

We prove that Bernstein operators preserve log-concavity of functions. We give a proof, which bases solely on elementary properties of the binomial co......

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