%0 Journal Article %T Sharpness of Muqattash-Yahdi problem %A Chen %A Chao-Ping %A Mortici %A Cristinel %J Computational & Applied Mathematics %D 2012 %I Scientific Electronic Library Online %R 10.1590/S1807-03022012000100005 %X let ¦× denote the psi (or digamma) function. we determine the values of theparameters p, q and r such that ¦×(n) ¡Ö 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. %K psi function %K polygamma functions %K rate of convergence %K approximations. %U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S1807-03022012000100005&lng=en&nrm=iso&tlng=en