2013Mathematica EternaRequires access

A study on logarithmically concave functions

Banyat Sroysang

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Abstract

For any positive real-valued function f on a closed interval, we say that (1) f is concave if −f is convex, and (2) f is logarithmically concave if log f is concave. In this paper, we present sufficient conditions for being a logarithmically concave function.

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What this paper is about

For any positive real-valued function f on a closed interval, we say that (1) f is concave if −f is convex, and (2) f is logarithmically concave if log f is concave. In this paper, we present sufficient conditions for being a logarithmically concave function.

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Available abstract

For any positive real-valued function f on a closed interval, we say that (1) f is concave if −f is convex, and (2) f is logarithmically concave if log f is concave. In this paper, we present sufficient conditions for being a logarithmically concave function.

Key concepts: Concave function, Mathematics, Interval (graph theory), Function (biology), Regular polygon, Logarithmically convex function, Combinatorics, Mathematical analysis

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