LpLp error estimates for projection approximations

We provide an error estimate for the local mean projection approximation in Lp([0,τ∗])Lp([0,τ∗]) for p∈[1,+∞[p∈[1,+∞[, in terms of the regularity of the underlying grid, and we apply it to the corresponding projection approximation of weakly singular Fredholm integral equations of the second kind.