Квадратурная формула Эйлера для функции с погранслойной составляющей на кусочно-равномерной сетке

Euler and Gregory quadrature rules for a function with a boundary layer component are investigated. The integrand corresponds to a solution of a singular perturbed problem. It is proved that Euler and Gregory quadrature rules on a mesh, dence in a boundary layer, have a fourth order of an accuracy uniformly in a boundary layer growth of the integrand. Results of numerical experiments are discussed.