We present the sharp bounds for the Neuman means , , and in terms of the arithmetic, harmonic, and contraharmonic means. Our results are the refinements or improvements of the results given by Neuman.
"Refinements of Bounds for Neuman Means." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/354132