Laura Gori

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It is shown how recent ideas on rational Gauss-type quadrature rules can be extended to Gauss-Kronrod, Gauss-Turr an, and Cauchy principal value quadrature rules. Numerical examples illustrate the advantages in accuracy thus achievable. 0. Introduction The idea of constructing quadrature rules that are exact for rational functions with prescribed poles,(More)
We discuss quadrature formulae of highest algebraic degree of precision for integration of functions of one or many variables which are based on non-standard data, i.e., in which the information used is different from the standard sampling of function values. Among the examples given in this survey is a quadrature formula for integration over the disk,(More)
The main purpose of this paper is the construction of explicit Gauss-Turán quadrature formulas: they are relative to some classes of weight functions, which have the peculiarity that the corresponding s-orthogonal poly-nomials, of the same degree, are independent of s. These weights too are introduced and discussed here. Moreover, highest-precision(More)
Few data are available on the seroprevalence of antibodies to Bartonella henselae among children. We retrospectively evaluated the presence of immunoglobulin G and M class antibodies to B. henselae in 508 children living in central Italy who were apparently free of any features suggesting B. henselae infection. We found that B. henselae infection is common(More)