We investigate a sequence of polynomials orthogonal with respect to the weight function, which appears in the error statistics in high speed optical fiber communication systems. Computation of these integrals by classical approach shows unexpectedly dubious accuracy. That is why we had to construct the new quadratures, to get more reliable results in our applications. Numerical procedure for quadrature construction is considered and its stability is discussed in detail.
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Univ Nish, Fac Elect Engn, Dept Math, YU-18000 Nish, Serbia Monteneg, SerbiaUniv Nish, Fac Elect Engn, Dept Math, YU-18000 Nish, Serbia Monteneg, Serbia
Milovanovic, GV
Cvetkovic, AS
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Univ Nish, Fac Elect Engn, Dept Math, YU-18000 Nish, Serbia Monteneg, SerbiaUniv Nish, Fac Elect Engn, Dept Math, YU-18000 Nish, Serbia Monteneg, Serbia
机构:
Univ Estadual Paulista, IBILCE, Dept Ciencias Comp & Estatist, Sao Paulo, BrazilUniv Estadual Paulista, IBILCE, Dept Ciencias Comp & Estatist, Sao Paulo, Brazil
Dimitrov, Dimitar K.
Marcellan, Francisco
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Univ Carlos III, Escuela Politecn Super, Dept Matemat, Leganes, SpainUniv Estadual Paulista, IBILCE, Dept Ciencias Comp & Estatist, Sao Paulo, Brazil