Abstract
Quadrature formulas with arbitrary (Hermitian or Birkhoff) fixed nodes and free Hermitian nodes are studied. Existence of unique location for the free nodes is established such that they are all of Gaussian type.
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Nikolov, G. Existence and uniqueness of Hermite-Birkhoff Gaussian quadrature formulas. Calcolo 26, 41–59 (1989). https://doi.org/10.1007/BF02576506
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DOI: https://doi.org/10.1007/BF02576506