New lower bound estimates for quadratures of bounded analytic functions

Małgorzata Moczurad, Piotr Zgliczyński, Włodzimierz Zwonek

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 $[-1,1]$.