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}
}
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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References

Publications referenced by this paper.
SHOWING 1-5 OF 5 REFERENCES

P

J. D. KeCki
  • M. VasiC "Some inequalities for the gamma function," Publ. Inst. Math. (Beograd){N.S.),\. 11, 1971, pp. 107-114. 6 D. S. MitrinoviC. Analytic Inequalities. Springer-Verlag. Berlin and New York,
  • 1970
VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL

R

E. F. Beckenbac
  • Bellman, Inequalities. 1st. ed.. Springer-Verlag. Berlin and New York.
  • 1961