Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case
✍ Scribed by Kenier Castillo; Mirela V. Mello; Fernando R. Rafaeli
- Book ID
- 119192104
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 295 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0168-9274
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📜 SIMILAR VOLUMES
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
In this paper we study the asymptotic behaviour of polynomials orthogonal with respect to a Sobolev-type inner product where p and q are polynomials with real coefficients, and A is a positive semidefinite matrix. We will focus our attention on their outer relative asymptotics with respect to the