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Kronrod extensions with multiple nodes of quadrature formulas for fourier coefficients
(Mathematics of Computation, 2014)
We continue with analyzing quadrature formulas of high degree of precision for computing the Fourier coefficients in expansions of functions with respect to a system of orthogonal polynomials, started recently by Bojanov ...
Error bounds of gaussian quadrature formulae for one class of bernstein-szego weights
(Mathematics of Computation, 2013)
The kernels K-n(z) in the remainder terms R-n(f) of the Gaussian quadrature formulae for analytic functions f inside elliptical contours with foci at -/+ 1 and a sum of semi- axes rho > 1, when the weight function w is of ...
On generalized averaged gaussian formulas. Ii
(Amer Mathematical Soc, Providence, 2017)
Recently, by following the results on characterization of positive quadrature formulae by Peherstorfer, we proposed a new (2l + 1)-point quadrature rule (G) over cap (2l + 1), referred to as a generalized averaged Gaussian ...
Error bounds for Gauss-Turan quadrature formulae of analytic functions
(American Mathematical Society, 2003)
On generalized averaged Gaussian formulas
(American Mathematical Society, 2007)
Maximum of the modulus of kernels in Gauss-Turan quadratures
(American Mathematical Society, 2008)
We study the kernels
in the remainder terms
of the Gauss-Turán quadrature formulae for analytic functions on elliptical contours with foci at , when the weight
is a generalized Chebyshev weight function. For the ...