Abstract
A number of inequalities lend themselves to alternative
interpretations. For example, the fundamental
CauchyBunyakovskySchwarz inequality can be interpreted as a
correlation, and also as a cosine.
Similarly, quadratic forms can be interpreted as moments. These
alternative interpretations often
permit very different proofs, some of which are elegant. Probabilistic
interpretations have an intuitive
appeal, in part because it may be easier to determine when equality is
achieved. Indeed, in many cases
a two point distribution is the one that achieves equality. There is
also an interesting, and very fruitful,
connection between Schurconvexity and moments that generates a variety
of inequalities. Inequalities
for the gamma function exhibit this connection.
Information:
Date:  Tuesday, August 26, 2008, 14:0015:00  Place:  Niavaran Bldg., Niavaran Square, Tehran, Iran 
