8 Interval Newton-Cotes Quadrature
8.1 Introduction
According to approximation theory, the problem of integration plays a major role in various fields such as mathematics, physics, statistics, engineering, and social sciences. Because in many applications, at least some system parameters and measurements are represented by interval numbers rather than real numbers, it is important to develop interval integrals and solve them. The concept of interval numbers and arithmetic operations with these numbers has already been discussed. Here, we introduce the integration formulas of Newton-Coates methods for the interval integrals with the Peano’s error representation theorem as well as the convergence theorem.
8.2 ...
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