Теорія похибок: абсолютна, відносна, середньоквадратична похибка

Abstract

This work examines the mail types of errors: absolute error, defined as the absolute value of the difference between an approximate and an exact value; relative error, which normalizes this deviation with respect to the true value and is usually expressed as a percentage; and the root mean square error, used in the processing of a series of measurements or computations. Understanding these concepts is fundamental in numerical analysis, functional approximation, solving differential equations, and evaluating the reliability of computational methods. Proper consideration of errors ensures high accuracy of mathematical result and enables adequate interpretation of the obtained data.