In the present paper, optimal quadrature formulas in the sense of Sard are constructed fornumerical integration of the integral ∫ a b e 2πiωx φ( x )dx with ω ∈ ℝ in the Sobolev space L 2 ( m ) [ a,b ] ...
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 ...