Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2
4
2014
09
08
A New Proof of an Inequality for the Logarithm of the Gamma Function and Its Sharpness
147
151
EN
Mansour
Mahmoud
Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
TJANT2014248
10.12691/tjant-2-4-8
2014
07
03
2014
09
01
2014
09
08
In the paper, the author shows that the partial sums are alternatively larger and smaller than the generalized Euler's harmonic numbers with sharp bounds, where is the Euler's constant, are the Bernoulli numbers and is the digamma function.