How can the tiniest particles and the vast structure of the universe be explained using the same kind of mathematics? This puzzle is the focus of recent research by mathematicians Claudia Fevola ...

Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...

Polynomial Threshold Function (PTF): A Boolean function represented as the sign of a real polynomial, used to model decision boundaries in high-dimensional spaces.

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 ...

A new procedure for estimating characteristic functions based on a Chebyshev polynomial expansion for the density of the Cosine is developed. Simulation results confirm the usefulness of the method.