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On weight functions which admit explicit Gauss-Turán quadrature formulas

On weight functions which admit explicit Gauss-Turán quadrature formulas

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 polynomials, of the same degree, are independent of $s$. These weights too are introduced and discussed here. Moreover, highest-precision …