In the Introduction to the Derivative video we introduce the notion of the derivative of a function and explain how the derivative captures the instantaneous rate of change of a function. In the ...
Two near minimax norms for polynomial approximation are presented. They are designed for approximation of both a function and its first derivative uniformly by polynomials over a given finite interval ...
Polynomial smoothing to estimate the derivative of a large sequence of sampled data requires the proper choice of the degree polynomial and the smoothing interval. Linear and cubic polynomial ...