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 ...

The amount of time it takes for an algorithm to solve a polynomial function, which is a mathematical expression that does not contain fractions or negative numbers. The time is proportional to the ...

A nonparametric function estimation method called SUPPORT ("Smoothed and Unsmoothed Piecewise-Polynomial Regression Trees") is described. The estimate is typically made up of several pieces, each ...

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

Constructive proofs and several generalizations of approximation results of J. H. Bramble and S. R. Hilbert are presented. Using an averaged Taylor series, we represent a function as a polynomial plus ...