
06513087
j
2016a.00773
Bivens, Irl C.
Klein, Benjamin
The median value of a continuous function.
Math. Mag. 88, No. 1, 3951 (2015).
2015
Mathematical Association of America (MAA), Washington, DC
EN
I20
I50
K50
median value
continuous functions
area minimization
doi:10.4169/math.mag.88.1.39
Summary: Using a limit we define the median value of a continuous function on a bounded interval and we explicate the connection between the median and area minimization. With the help of Lebesgue measure we show that this connection can be viewed as a special case of an interesting minimization principle in probability.