The classical approach to the theory of quadrature formulae is based on the concept of algebraic degree of precision (ADP). A quadrature formula ÃŸ, is considered to be "better" than Q2 if ADP(g, ) >â€¦ (More)

Gauss-Lobatto quadrature formulae associated with symmetric weight functions are considered. The kernel of the remainder term for classes of analytic functions is investigated on elliptical contours.â€¦ (More)

Bounds for the extreme zeros of the classical orthogonal polynomials are obtained by a surprisingly simple method. Nevertheless, it turns out that, in most cases, the estimates obtained in this noteâ€¦ (More)

Let pm(x) = P (Î») m (x)/P (Î») m (1) be the m-th ultraspherical polynomial normalized by pm(1) = 1. We prove the inequality |x|pn(x)âˆ’pnâˆ’1(x)pn+1(x) â‰¥ 0, x âˆˆ [âˆ’1, 1], for âˆ’1/2 < Î» â‰¤ 1/2. Equality holdsâ€¦ (More)