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In this paper we consider a Sobolev inner product (f, g) S = f gdµ + λ f g dµ (1) and we characterize the measures µ for which there exists an algebraic relation between the polynomials, {P n }, orthogonal with respect to the measure µ and the polynomials, {Q n }, orthogonal with respect to (1), such that the number of involved terms does not depend on the(More)
In this paper we study a quadrature formula for Bernstein–Szegő measures on the unit circle with a fixed number of nodes and unlimited exactness. Taking into account that the Bernstein–Szegő measures are very suitable for approximating an important class of measures we also present a quadrature formula for this type of measures such that the error can be(More)