The analysis of orthogonal polynomials associated with general weights was a major theme
in classical analysis in the twentieth century, and undoubtedly will continue to grow in …

Results on multiple orthogonal polynomials will be surveyed. Multiple orthogonal
polynomials are intimately related to Hermite-Padé approximants and often they are also …

A new construction is given for approximating a logarithmic potential by a discrete one. This
yields a new approach to approximation with weighted polynomials of the form w" n"("" …

We investigate the asymptotic properties of orthogonal polynomials for a class of inner
products including the discrete Sobolev inner products\left ⟨ h, g\right ⟩= ∫ hgd μ+ ∑ _ j …

Strong asymptotic formulae for the Hermite-Padé polynomials for systems of Markov-type
functions in the Nikishin class are obtained. The proof is based on the properties of certain …

We consider quadrature formulas based on interpolation using the basis functions
$1/(1+{t_k} x)\quad (k= 1, 2, 3,\ldots) $ on $[-1, 1] $, where ${t_k} $ are parameters on the …

Ratio and relative asymptotics are given for sequences of polynomials orthogonal with
respect to measures supported on an arc of the unit circle, where their absolutely continuous …

We briefly review some asymptotics of orthonormal polynomials. Then we derive the
Bernstein–Szegő, the Riemann–Hilbert (or Fokas–Its–Kitaev), and Rakhmanov projection …

Сильная асимптотика многочленов совместной ортогональности для сист Page 1 1999
МАТЕМАТИЧЕСКИЙ СБОРНИК Том 190, 5 УДК 517.5 º º Сильная асимптотика …

The convergence of (diagonal) sequences of rational interpolants to an analytic function is
investigated. Problems connected with their definition are shortly discussed. Results about …