Polynomial approximation constitutes a fundamental framework in numerical analysis and applied mathematics, where complex functions are represented by simpler polynomial forms.

Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly ...

Properties of the Lebesgue function associated with interpolation at the Chebyshev nodes $\ {\operatorname {\cos}\lbrack (2k - 1)\pi/ (2n)\rbrack, k = 1,2, \cdots, n\}$ are studied. It is proved that ...

Physicists are interested in partition functions, as many properties of physical models can be deduced from them. In their STOC paper from 2001, Jerrum et al. showed how to approximate the permanent ...

Piecewise polynomial interpolation and spline interpolation. Trigonometric interpolation, Fourier series, DFT and FFT. Approximation of Functions The Weierstrass Theorem and Taylor's Theorem The ...