5 research outputs found
The impact of Stieltjes' work on continued fractions and orthogonal polynomials
Full text linkStieltjes' work on continued fractions and the orthogonal polynomials related
to continued fraction expansions is summarized and an attempt is made to
describe the influence of Stieltjes' ideas and work in research done after his
death, with an emphasis on the theory of orthogonal polynomials
Asymptotics of derivatives of orthogonal polynomials based on generalized Jacobi weights. Some new theorems and applications
No full textSubperiodic trigonometric hyperinterpolation
No full textUsing recent results on subperiodic trigonometric Gaussian quadrature and the construction of subperiodic trigonometric orthogonal bases, we extend Sloan\u2019s notion of hyperinterpolation to trigonometric spaces on subintervals of the period. The result is relevant, for example, to function approximation on spherical or toroidal rectangles
