In this paper we show that, if a problem of (0, 1, · · · , m — 2, m)-interpolation on the zeros of the Jacobi polynomials $P_n^{\left( {\alpha ,\beta } \right ...

This paper presents new asymptotics on the coefficients of ƒ(x) expanded in forms of ultraspherical or Jacobi polynomial series, which imply the rate of the decay of ...

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 ...

Orthogonal polynomials have long played a pivotal role in quantum mechanics, offering a robust analytic framework to address exactly solvable models. Their applications range from providing explicit ...