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