TY - JOUR AU - Rojo, Oscar PY - 2006 DA - 2006/11/08 TI - Inequalities involving the mean and the standard deviation of nonnegative real numbers JO - Journal of Inequalities and Applications SP - 43465 VL - 2006 IS - 1 AB - Letandbe the mean and the standard deviation of the components of the vector, wherewitha positive integer. Here, we prove that if, thenfor. The equality holds if and only if thelargest components ofare equal. It follows thatis a strictly increasing sequence converging to, the largest component of, except if thelargest components ofare equal. In this case,for all. SN - 1029-242X UR - https://doi.org/10.1155/JIA/2006/43465 DO - 10.1155/JIA/2006/43465 ID - Rojo2006 ER -