31 research outputs found
An Inequality for Bounded Functions
In this note we prove optimal inequalities for bounded functions in terms of
their deviation from their mean. These results extend and generalize some known
inequalities due to Thong (2011) and Perfetti (2011)Comment: 7 page
Bounds for the Ratios of Differences of Power Means in Two Arguments
Using methods from classical analysis, sharp bounds for the ratio of
differences of Power Means are obtained. Our results generalize and extend
previous ones due to S. Wu(2005), and to S. Wu and L. Debnath.Comment: 1 figur