Find an expression for the kl divergence

Question

Assignment Problem: Gaussian Process Regression with Poisson likelihood

Task 1: Find an expression for the KL divergence between two univariate Gaussian distributions

Task 2: Prove the following expression is the KL divergence between the approximating distribution and our Gaussian process prior on f

Task 3: Prove that the following expression is the expectation of the log likelihood of the Poisson distribution wrt q(f_n)

Attachment:- Task-Gaussian Process Regression.rar