%0 Journal Article %T The inequality of Milne and its converse %A Alzer Horst %A Kova£żec Alexander %J Journal of Inequalities and Applications %D 2002 %I Springer %X We prove: Let be real numbers with . Then we have for all real numbers : with the best possible exponents and . The left-hand side of (0.1) with is a discrete version of an integral inequality due to E.A. Milne [1]. Moreover, we present a matrix analogue of (0.1). %K Milne's inequality %K Inequalities for sums %K Matrix inequalities %U http://www.journalofinequalitiesandapplications.com/content/7/241023