We obtain new sharp bounds for the Bernoulli numbers: , , and establish sharpening of Papenfuss's inequalities, the refinements of Becker-Stark, and Steckin's inequalities. Finally, we show a new simple proof of Ruehr-Shafer inequality.
"New Sharp Bounds for the Bernoulli Numbers and Refinement of Becker-Stark Inequalities." J. Appl. Math. 2012 1 - 7, 2012. https://doi.org/10.1155/2012/137507