BOUNDS FOR THE ERROR IN TRIGONOMETRIC HERMITE INTERPOLATION

Publisher Summary This chapter highlights the error in trigonometric interpolation to nonperiodic smooth functions on arbitrary intervals of length less than 2π. The trigonometric analogs for polynomial interpolation to a smooth function g are studied at m points x 1 , x 2 … x m . The t-differences can be used to give a Newton form for the trigonometric Hermite interpolation polynomial and they can be computed recursively in a difference scheme. The chapter also discusses trigonometric B-splines, trigonometric interpolation I, and trigonometric interpolation II.