Let $f: [0,1] \to \mathbb R$ be a continuous function then the maximum value of $\displaystyle \int_0 ^1 f(x)(x^2) dx - \int_0^1 x(f(x)^2) dx $ is? Unable to understand how to solve this problem. I have thought about it analytically and think that the following points are important: $x^...
For people who only want guidance in understanding how to approach the problem, as opposed to seeing a fully fleshed out solution. Would this tag be useful? Am new to this site, so don't want to create this tag especially if people think that it won't be used. I don't really use tags as yet, s...
How to calculate the normalisation factors of Legendre Polynomial of second kind? It is provided that ,the normalisation factors are chosen so that second kind Polynomials satisfies the recurrence relation of the first kind.
« first day (2216 days earlier) ← previous day next day → last day (2135 days later) »