Browsing by Author "Jaddoa, Najlaa"
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Item INTERPOLATION ON TIME SCALES(2022-02-16) Jaddoa, Najlaa; Sevinik Adıgüzel, Rezan; Erhan, İnciIn this thesis, we investigate the interpolation on time scales. We define the Lagrange, σ-Lagrange, Hermite, σ-Hermite, Newton and σ-Newton interpolation polynomials on arbitrary time scales. We define the divived and σ-divided differences and con struct a divided difference table to be used to obtain the Hermite polynomial for a given data set in a very easy way. The interpolation of a data set by means of the so called σ-polynomials is an unusual one where the interpolating functions may not be polynomials depending on the form of the time scales under consideration. In this way, we provide a different aspect to the interpolation on time scales. We consider numerous examples on various types of time scales. The examples are supported by numerical computation and relevant figures obtained with Matlab.