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Journals and Conferences
We study the zero location and asymptotic zero distribution of sequences of polynomials which satisfy an extremal condition with respect to a norm given on the space of all polynomials.
For a wide class of Sobolev type norms with respect to measures with unbounded support on the real line, the contracted zero distribution and the logarithmic asymptotic of the corresponding re-scaled… (More)
Let μ be a finite positive Borel measure supported on R, L[ f ] = x f ′′ + (α + 1 − x) f ′ with α > −1, or L[ f ] = 2 f ′′ − x f , and m a natural number. We study algebraic, analytic and asymptotic… (More)
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 xγe−φ(x), with γ > 0,… (More)
We study the zero location and the asymptotic behavior of the primitives of the standard orthogonal polynomials with respect to a finite positive Borel measure concentrate on [−1,1].
We obtain the strong asymptotics for the sequence of monic polynomials minimizing the norm ‖q‖S = ( N ∑ k=0 ∥∥q(k)∥∥2 k )1/2 , where ‖ · ‖k , k = 0, . . . ,N − 1, are L2 norms with respect to… (More)