# Some extensions of W. Gautschis inequalities for the gamma function

@inproceedings{Kershaw1983SomeEO, title={Some extensions of W. Gautschis inequalities for the gamma function}, author={D. Kershaw}, year={1983} }

- Published 1983
DOI:10.1090/s0025-5718-1983-0717706-5

It has been shown by W. Gautschi that if 0 I Xi-s < F(x ) < exp[(I s)x + 1)]. The following closer bounds are proved: exp[(I s)4(x + 12)] < F + ) < exp[(I s) (x + s I)] F(x ? s)2 and [x + 2] <t <[ X-2+ (s + 4) These are compared with each other and with inequalities given by T. Erber and J. D. Keckic and P. M. Vasic

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## The gamma function inequalities of Gurland and Gautschi

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