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Cheon, Gi-S., and El-Mikkawy, M. A., “Generalized harmonic numbers with Riordan arrays”, J. Number Theory, 128, 413-425, 2008.

has been cited by the following article:

Article

A New Proof of an Inequality for the Logarithm of the Gamma Function and Its Sharpness

1Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

2Department of Mathematics, Faculty of Science, Mansoura University, ansoura 35516, Egypt


Turkish Journal of Analysis and Number Theory. 2014, Vol. 2 No. 4, 147-151
DOI: 10.12691/tjant-2-4-8
Copyright © 2014 Science and Education Publishing

Cite this paper:
Mansour Mahmoud. A New Proof of an Inequality for the Logarithm of the Gamma Function and Its Sharpness. Turkish Journal of Analysis and Number Theory. 2014; 2(4):147-151. doi: 10.12691/tjant-2-4-8.

Correspondence to: Mansour  Mahmoud, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia. Email: mansour@mans.edu.eg

Abstract

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 γ is the Euler's constant, are the Bernoulli numbers and ψ is the digamma function.

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