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

Densities for the angle Θ = uX(mod 2π) and the cosine $Y = \cos(uX)$ can be expressed, through Fourier methods, in terms of the characteristic function of X. Thus ...

Matrix functions, such as the exponential, square root and cosine, play an indispensable role in various fields including quantum mechanics, control theory and numerical solution of differential ...

Dominique Guillot, an associate professor in the University of Delaware's Department of Mathematical Sciences, was recently awarded the grant "Polynomial approximation in spaces of analytic functions" ...

Mark Jerrum, Alistair Sinclair (UC Berkeley) and Eric Vigoda (Georgia Tech) received the Association for Computing Machinery (ACM) Test of Time Award at a virtual ceremony on Wednesday 23 June at the ...