International Scientific Journals
of Scientific Technical Union of Mechanical Engineering "Industry 4.0"

The definitions of Hermitian splines with nonlinear expressions in the links are given. Formulas for the parameters of Hermitian splines with exponential-power links with four parameters are derived. The definition of the balance approximation of functions by splines is given. The formula for the balance approximation error for Hermitian splines with four parameters are obtained. The error of approximation of functions by polynomial Hermitian splines is compared with the error of approximation of functions by Hermitian splines with exponential-power expressions in the links