Abstract
We prove various new inequalities for Euler’s gamma function. One of our theorems states that the double-inequality
is valid for all real numbers x,y ∈ (0,1) with the best possible constant factors \(\alpha=1/\sqrt{2}=0.707...\) and β = 1.
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To the memory of Professor Luigi Gatteschi.
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Alzer, H. Gamma function inequalities. Numer Algor 49, 53–84 (2008). https://doi.org/10.1007/s11075-008-9160-4
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DOI: https://doi.org/10.1007/s11075-008-9160-4