On the convergence of orthogonal series of polynomials
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چکیده
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Weak Convergence of Orthogonal Polynomials
The weak convergence of orthogonal polynomials is given under conditions on the asymptotic behaviour of the coefficients in the three-term recurrence relation. The results generalize known results and are applied to several systems of orthogonal polynomials, including orthogonal polynomials on a finite set of points.
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1965
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-25-2-207-215