engleski

Monotonicity of error and Schur-convexity of a general two-point quadrature formula

In this work, the behaviour of the error of a general two-point quadrature formula is studied. It is established that the error in question has a monotonicity property and that this is equivalent to the fact that the function defined as the difference of the average value of the integral and the quadrature - that is, the error - is Schur-convex.

general two-point quadrature formula ; the error ; convex functions ; Schur-convexity

nije evidentirano