In this article, the Grebennikov cubic spline, the Ryabenky cubic spline, and we offer the local interpolation cubic spline models are selected. The construction details of the models were given and the processes of approximating the functions were performed using selected local cubic splines. We can also say that the local interpolation cubic spline models considered in this study provide high accuracy in digital processing of signals, which helps experts to make the right decision as a result of digital processing of signals. For instance, the initial values of the gastroentrological signal were calculated after that they digitally processed, and the error results were taken. Approximation of the considered models and digital processing of the gastroenterological signal by getting error results were specific analyzed comparatively based on numerical and graphical comparisons.
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