𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Orthogonal polynomials for modified Gegenbauer weight and corresponding quadratures

✍ Scribed by Gradimir V. Milovanović; Aleksandar S. Cvetković; Marija P. Stanić


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
490 KB
Volume
22
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Zeros and logarithmic asymptotics of Sob
✍ C. Díaz Mendoza; R. Orive; H. Pijeira Cabrera 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 502 KB

We obtain the (contracted) weak zero asymptotics for orthogonal polynomials with respect to Sobolev inner products with exponential weights in the real semiaxis, of the form x γ e -ϕ(x) , with γ > 0, which include as particular cases the counterparts of the so-called Freud (i.e., when ϕ has a polyn

A Cohen type inequality for Fourier expa
✍ Bujar Xh. Fejzullahu 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 156 KB

## Abstract Let __d__μ(__x__) = (1 − __x__^2^)^α−1/2^__dx__,α> − 1/2, be the Gegenbauer measure on the interval [ − 1, 1] and introduce the non‐discrete Sobolev inner product where λ>0. In this paper we will prove a Cohen type inequality for Fourier expansions in terms of the polynomials orthogona

Uniform asymptotics for polynomials orth
✍ P. Deift; T. Kriecherbauer; K. T-R McLaughlin; S. Venakides; X. Zhou 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 475 KB 👁 1 views

We consider asymptotics for orthogonal polynomials with respect to varying exponential weights w n (x)dx = e -nV (x) dx on the line as n → ∞. The potentials V are assumed to be real analytic, with sufficient growth at infinity. The principle results concern Plancherel-Rotach-type asymptotics for the