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Sharp bounds for psi function

Author

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

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.

Suggested Citation

  • Yang, Zhen-Hang & Chu, Yu-Ming & Zhang, Xiao-Hui, 2015. "Sharp bounds for psi function," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 1055-1063.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:1055-1063
    DOI: 10.1016/j.amc.2015.07.012
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    Cited by:

    1. Ladislav Matejíčka, 2019. "A Solution to Qi’s Conjecture on a Double Inequality for a Function Involving the Tri- and Tetra-Gamma Functions," Mathematics, MDPI, vol. 7(11), pages 1-14, November.

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