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 ...

Kövari and Pommerenke [19], and Elliott [8], have shown that the truncated Faber series gives a polynomial approximation which (for practical values of the degree of the polynomial) is very close to ...

New approximations of the Jacobi polynomials $P_n^{\left( {\alpha ,\beta } \right)}\left( x \right)$ are provided on the interval (1, ∞). The approximations are ...

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" ...

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 ...