Mark B. Villarino
Published 2005-10-27, updated 2005-11-05Version 3
We obtain best possible upper and lower bounds for the Lodge-Ramanujan and DeTemple-Wang approximations to the nth Harmonic Number
Comments: 7 pages. Typos corrected. Several improvements in the exposition. Considerable strengthening of theorem 3 on the DeTemple-Wang approximation. Updated references, thanks to Dr. Feng Qi
Sharp bounds for the difference between the arithmetic and geometric means
Sharp bounds for harmonic numbers
Sharp bounds for a class of integral operators in weighted-type spaces on Heisenberg group
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