CONSTRUCTION OF QUADRATURE FORMULAS BASED ON HIGHER-ORDER SPLINES AND THEIR COMPARATIVE ANALYSIS IN SPECIFIC EXAMPLES.

This study explores the numerical processing of signals using high-order Ryabenky spline models within the framework of approximation theory. Third-, fifth-, and seventh-order spline models were selected, with a focus on their efficiency in digital signal processing. Experimental gastroenterological signal data were used to build approximations and perform comparative analyses. Results show that the seventh-order Ryabenky spline provides the most accurate approximation among the tested models. These high-order spline models can also be applied to other types of medical and digital signals.