Error bounds for Gauss-Turán quadrature formulae of analytic functions
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Publication:4417163
DOI10.1090/S0025-5718-03-01544-8zbMath1030.41018OpenAlexW2035892074WikidataQ115058801 ScholiaQ115058801MaRDI QIDQ4417163
Gradimir V. Milovanović, Miodrag M. Spalević
Publication date: 28 July 2003
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01544-8
Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)
Related Items (21)
Quadrature rules with multiple nodes for evaluating integrals with strong singularities ⋮ A note on the bounds of the error of Gauss--Turán-type quadratures ⋮ Gauss-Tur'an quadratures of Kronrod type for generalized Chebyshev weight functions ⋮ Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szegö weight functions ⋮ Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses -- survey of recent results ⋮ Error bounds for kronrod extension of generalizations of Micchelli-Rivlin quadrature formula for analytic functions ⋮ Error analysis in some Gauss-Turán-Radau and Gauss-Turán-Lobatto quadratures for analytic functions. ⋮ On the remainder term of Gauss-Radau quadratures for analytic functions ⋮ Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients ⋮ Best quadrature formula on Sobolev class with Chebyshev weight ⋮ Polyharmonic Hardy spaces on the complexified annulus and error estimates of cubature formulas ⋮ Bounds of the error of Gauss-Turán-type quadratures. II. ⋮ Bounds of the error of Gauss-Turán-type quadratures ⋮ The error norm of quadrature formulae ⋮ Maximum of the modulus of kernels in Gauss-Turán quadratures ⋮ The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type ⋮ The Scientific Work of Gradimir V. Milovanović ⋮ The Remainder Term of Gauss–Turán Quadratures for Analytic Functions ⋮ Wavelet approximation of a function using Chebyshev wavelets ⋮ An Error expansion for some Gauss-Turán quadratures and \(L^1\)-estimates of the remainder term ⋮ On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type
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