TRIGONOMETRIC REPRESENTATION OF CUBIC HERMITIAN SPLINES

Abstract

This paper proposes a new trigonometric presentation of cubic Hermiian splines, which makes it possible to obtain more accurate interpolation results compared with the existing spline methods. Such results are achieved for almost periodic, quasiperiodic functions and vibration resonance functions. Brief overview of spline interpolation and trigonometric interpolation methods is presented. The benefits and key application areas of the proposed trigonometric interpolation method are analyzed. The paper presents errors in the results of test function interpolation using the developed and the existing spline interpolation methods.