Modified Hermitian splines

Abstract

Modified Hermite trigonometric splines, which provide more accurate result of interpolation by comparison with existing methods for quasi-periodic functions and vibrational resonance, are suggested in the article. The main areas of application of the developed method of interpolation are identified. To test the adequacy of the developed spline authors present a table comparing the deviations of the interpolated test functions using the proposed and known methods of spline interpolation.