Dirichlet orthogonal polynomials with Laguerre weight
نویسنده
چکیده
Let {λj}j=1 be a sequence of distinct positive numbers. We find explicit formulae for the orthogonal Dirichlet polynomials {ψn} formed from linear combinations of { λ−it j }n j=1 , associated with the Laguerre weight. Thus ∫ ∞ 0 ψn (t)ψm (t)e −tdt = δmn. In addition, we estimate Christoffel functions and establish Markov-Bernstein inequalities.
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عنوان ژورنال:
- Journal of Approximation Theory
دوره 194 شماره
صفحات -
تاریخ انتشار 2015