Sharp bounds for psi function

Zhen-Hang Yang, Yu-Ming Chu and Xiao-Hui Zhang

Applied Mathematics and Computation, 2015, vol. 268, issue C, 1055-1063

Abstract: In this paper, we present the greatest value a ∈ (1/15, ∞) and the least value b ∈ (4/15, ∞) such that the double inequality L(x,a)<ψ(x+1) 0, where L(x,a)=190a2+2log(x2+x+3a+13)+45a290a2+2log(x2+x+15a−145a) and ψ(x) is the classical psi function.

Keywords: Gamma function; Psi function; Monotonicity (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:1055-1063

DOI: 10.1016/j.amc.2015.07.012

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