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تعداد نتایج: 330  

Journal: :Journal of Approximation Theory 2011
Franz Peherstorfer

Let E = ∪j=1[a2j−1, a2j ], a1 < a2 < ... < a2l, l ≥ 2 and set ω(∞) = (ω1(∞), ..., ωl−1(∞)), where ωj(∞) is the harmonic measure of [a2j−1, a2j ] at infinity. Let μ be a measure which is on E absolutely continuous and satisfies Szegő’s-condition and has at most a finite number of point measures outside E, and denote by (Pn) and (Qn) the orthonormal polynomials and their associated Weyl solutions...

Journal: :CoRR 2011
Panos Giannopoulos Christian Knauer Magnus Wahlström Daniel Werner

Discrepancy measures how uniformly distributed a point set is with respect to a given set of ranges. There are two notions of discrepancy, namely continuous discrepancy and combinatorial discrepancy. Depending on the ranges, several possible variants arise, for example star discrepancy, box discrepancy, and discrepancy of halfspaces. In this paper, we investigate the hardness of these problems ...

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