Abstract
For , the power mean of order , logarithmic mean , and arithmetic mean of two positive real values and are defined by , for and , for , , for and , for and , respectively. In this paper, we answer the question: for , what are the greatest value and the least value , such that the double inequality holds for all .
Citation
Wei-Feng Xia. Yu-Ming Chu. Gen-Di Wang. "The Optimal Upper and Lower Power Mean Bounds for a Convex Combination of the Arithmetic and Logarithmic Means." Abstr. Appl. Anal. 2010 1 - 9, 2010. https://doi.org/10.1155/2010/604804
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