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Error estimates for Gaussian quadratures of analytic functions
(Elsevier Science Bv, Amsterdam, 2009)
For analytic functions the remainder term of Gaussian quadrature formula and its Kronrod extension can be represented as a contour integral with a complex kernel. We study these kernels on elliptic contours with foci at ...
Error bounds of certain Gaussian quadrature formulae
(Elsevier Science Bv, Amsterdam, 2010)
We study the kernel of the remainder term of Gauss quadrature rules for analytic functions with respect to one class of Bernstein-Szego weight functions. The location on the elliptic contours where the modulus of the kernel ...
Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szego weight functions
(Elsevier Science Inc, New York, 2012)
We continue with the study of 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. The ...
Error bounds of the Micchelli-Sharma quadrature formula for analytic functions
(Elsevier Science Bv, Amsterdam, 2014)
Micchelli and Sharma constructed in their paper [On a problem of Turan: multiple node Gaussian quadrature, Rend. Mat. 3 (1983) 529-552] a quadrature formula for the Fourier-Chebyshev coefficients, which has the highest ...
On the remainder term of Gauss-Radau quadrature with Chebyshev weight of the third kind for analytic functions
(Elsevier Science Inc, New York, 2012)
For analytic functions the remainder term of quadrature formulae can be represented as a contour integral with a complex kernel. We study the kernel, on elliptic contours with foci at the points -/+ 1 and a sum of semi-axes ...
Error bounds of Micchelli-Rivlin quadrature formula for analytic functions
(Academic Press Inc Elsevier Science, San Diego, 2013)
We consider the well known Micchelli-Rivlin quadrature formula, of highest algebraic degree of precision, for the Fourier-Chebyshev coefficients. For analytic functions the remainder term of this quadrature formula can be ...
Error bounds for Gauss-type quadratures with Bernstein-Szego weights
(Springer, Dordrecht, 2014)
The paper is concerned with the derivation of error bounds for Gauss-type quadratures with Bernstein-Szego weights, integral(1)(-1) f(t)w(t) dt = G(n)[f] + R-n(f), G(n)[f] = Sigma(n)(nu=1) lambda(nu)f(tau(nu)) (n is an ...
On the remainder term of Gauss-Radau quadratures for analytic functions
(Elsevier, 2008)
For analytic functions the remainder term of Gauss–Radau quadrature formulae can be represented as a contour integral with a complex kernel. We study the kernel on elliptic contours with foci at the points and a sum of ...