prove that :

on c where C: the line segment from z=i to z=1

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- Aug 5th 2009, 12:32 AMflower3by using ML- inequality
prove that :

on c where C: the line segment from z=i to z=1 - Aug 5th 2009, 02:36 AMRandom Variable

where M is an upper bound of on C and L is the length of C.

the length of C is

where z is the distance from a point on C to the origin

To maximize we have to minimize

The shortest distance from a point on C to the origin is . (It's the length of the perpendicular bisector of C.)

so

which implies that

then