Speaker: Raghavendra Tripathi
Date: 16th January 2018 (Tuesday)
Time: 09:15 pm – 10:15 pm
Venue: Lecture Hall I, Department of Mathematics
In this talk I will revisit two very basic gems of modern analysis, namely the CSB inequality and the AM-GM inequality. I will present an elegant proof of the AM-GM inequality which uses induction.
As a consequence of these two simple inequalities I shall prove three seemingly unrelated results. (Two from analysis (the first result concerns the positions of roots of monic polynomial with real roots; the second concerns the bounds on tangential triangle and rectangle of monic polynomials which are positive in (-1,1)) and one from Graph Theory, namely a special case of Turan’s theorem).