A generalization of a theorem of Brass and Schmeisser

Tomasz Szostok

Let $n$ be an odd positive integer. It was proved by Brass and Schmeisser that for every quadrature $$\mathcal{Q}={\alpha }_{1}f(x_1)+\cdots +{\alpha }_{m}f(x_m),$$ (with positive weights) of order at l…