Sharpness of Muqattash-Yahdi problem

AUTOR(ES)

Chen, Chao-Ping, Mortici, Cristinel

FONTE

Computational & Applied Mathematics

DATA DE PUBLICAÇÃO

2012

RESUMO

Let ψ denote the psi (or digamma) function. We determine the values of theparameters p, q and r such that ψ(n) ≈ ln(n + p) - is the best approximations. Also, we present closer bounds for psi function, which sharpens some known results due to Muqattash and Yahdi, Qi and Guo, and Mortici. Mathematical subject classification: 33B15, 26D15.

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