New Quadrature and Cubature Formulas of Hermite Type

摘要

In this article a new quadrature and cubature formulas are obtained. These formulas are formulas of Hermitian type, which exactly on some trigonometric polynomials. The question of the convergence of the quadrature process associated with these formulas is investigated. Numerical analysis of these formulas is holds. The obtained formulas may have an advantage in integrating strongly oscillating functions.