New lower bound estimates for quadratures of bounded analytic functions
  We give an improved lower bound for the error of any quadrature computing $\int_{-1}^1 f(x) d\alpha(x)$ of analytic functions bounded in the neighborhood of $[-1,1]$. 
Ma{\l}gorzata Moczurad, Piotr Zgliczy\'nski and W{\l}odzimierz Zwonek
math.NA