Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses -- survey of recent results
From MaRDI portal
Publication:2208928
DOI10.1553/etna_vol53s352zbMath1451.65023OpenAlexW3021636486MaRDI QIDQ2208928
R. M. Mutavdžić Djukić, Aleksandar V. Pejčev, Miodrag M. Spalević, Dušan Lj. Djukić
Publication date: 28 October 2020
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol53/abstract.php?vol=53&pages=352-382
Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)
Related Items (4)
Error bounds for Gaussian quadrature formulae with Legendre weight function for analytic integrands ⋮ A note on ``Error bounds of Gaussian quadrature formulae with Legendre weight function for analytic integrands by M. M. Spalević et al. ⋮ Error bound of Gaussian quadrature rules for certain Gegenbauer weight functions ⋮ On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The error bounds of Gauss-Radau quadrature formulae with Bernstein-Szegő weight functions
- On a corrected Fejér quadrature formula of the second kind
- The error norm of Clenshaw-Curtis and related quadrature formulae
- Error bounds of Micchelli-Rivlin quadrature formula for analytic functions
- Error bounds for Gauss-type quadratures with Bernstein-Szegő weights
- Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szegö weight functions
- Error estimates of anti-Gaussian quadrature formulae
- Gauss-Kronrod quadrature formulae. A survey of fifty years of research
- The error norm of quadrature formulae
- High-precision Gauss-Turán quadrature rules for Laguerre and Hermite weight functions
- 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
- On the remainder term of Gauss-Radau quadratures for analytic functions
- Bounds of the error of Gauss-Turán-type quadratures. II.
- Error bounds of certain Gaussian quadrature formulae
- Construction of \(\sigma\)-orthogonal polynomials and Gaussian quadrature formulas
- Error estimates for Gaussian quadratures of analytic functions
- On Padé approximants associated with Hamburger series
- Fehlerabschätzungen für Gauß-Quadraturformeln. (Error estimates for Gauss quadrature formulae)
- Fehlerabschätzungen für nichtsymmetrische Gauß-Quadraturformeln. (Error estimates for nonsymmetric Gaussian quadrature formulae)
- The error norm of Gaussian quadrature formulae for weight functions of Bernstein-Szegö type
- Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type
- On the remainder term for analytic functions of Gauss-Lobatto and Gauss- Radau quadratures
- Error estimates for Gaussian quadrature formulae
- A set of orthogonal polynomials induced by a given orthogonal polynomial
- Error bounds for Gauss-Kronrod quadrature formulae of analytic functions
- The error norm of Gauss-Lobatto quadrature formulae for weight functions of Bernstein-Szegö type
- \(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae
- Error analysis in some Gauss-Turán-Radau and Gauss-Turán-Lobatto quadratures for analytic functions.
- Error bounds for kronrod extension of generalizations of Micchelli-Rivlin quadrature formula for analytic functions
- The error bounds of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type
- Bounds of the error of Gauss-Turán-type quadratures
- Calculation of Gaussian-type quadratures with multiple nodes
- Some error expansions for Gaussian quadrature
- Estimating quadrature errors for analytic functions using kernel representations and biorthogonal systems
- On the remainder term of Gauss-Radau quadrature with Chebyshev weight of the third kind for analytic functions
- Product integration rules for Chebyshev weight functions with Chebyshev abscissae
- Error bounds of the Micchelli-Sharma quadrature formula for analytic functions
- Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions
- The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type
- The error norm of Gauss-Radau quadrature formulae for Chebyshev weight functions
- Quadrature formulas for Fourier coefficients
- The error norm of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type
- Bounds on the error of Gauss-type quadratures
- Quadrature formulae
- An Error expansion for some Gauss-Turán quadratures and \(L^1\)-estimates of the remainder term
- Error bounds for rational quadrature formulae of analytic functions
- The remainder term for analytic functions of Gauss-Radau and Gauss- Lobatto quadrature rules with multiple end points
- The Remainder Term of Gauss–Turán Quadratures for Analytic Functions
- Error Bounds for Gaussian Quadrature of Analytic Functions
- The Error Norm of Certain Gaussian Quadrature Formulae
- Some Properties of Orthogonal Polynomials
- On the Remainder of Gaussian Quadrature Formulas for Bernstein-Szego Weight Functions
- Error bounds for Gauss-Turán quadrature formulae of analytic functions
- Error bounds for Gaussian quadrature formulae with Bernstein-Szego weights that are rational modifications of Chebyshev weight functions of the second kind
- On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions
- On weight functions which admit explicit Gauss-Turán quadrature formulas
- A Note on the Contour Integral Representation of the Remainder Term for a Gauss–Chebyshev Quadrature Rule
- Turán Formulae and Highest Precision Quadrature Rules for Chebyshev Coefficients
- Anti-Gaussian quadrature formulas
- Error bounds of Gaussian quadrature formulae for one class of Bernstein-Szegő weights
- The remainder term of Gauss-Radau quadrature rule with single and double end point
- Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part II
- The error bounds of Gauss-Lobatto quadratures for weights of Bernstein-Szegö type
- Error estimates of Gaussian quadrature formulae with the third class of Bernstein-Szegő weights
- Error estimations of Turán formulas with Gori-Micchelli and generalized Chebyshev weight functions
- Errors of Gauss-Radau and Gauss-Lobatto quadratures with double end point
- Quadratures with multiple nodes for Fourier–Chebyshev coefficients
- A note on an error bound of Gauss-Turán quadrature with the Chebyshev weight
- Error bounds for Gauss-Lobatto quadrature formula with multiple end points with Chebyshev weight function of the third and the fourth kind
- Error estimates for Gauss-Turan quadratures and their Kronrod extensions
- Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients
- Error Bounds and Estimates for Gauss--Turán Quadrature Formulae of Analytic Functions
- Monotonicity of the error term in Gauss-Turán quadratures for analytic function
- Maximum of the modulus of kernels in Gauss-Turán quadratures
- Integral formulas for Chebyshev polynomials and the error term of interpolatory quadrature formulae for analytic functions
- The error norm of Gauss-Radau quadrature formulae for Bernstein-Szegö weight functions
- The remainder term for analytic functions of symmetric Gaussian quadratures
- Quadratures with multiple nodes, power orthogonality, and moment-preserving spline approximation
- The remainder term for analytic functions of Gauss-Lobatto quadratures
This page was built for publication: Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses -- survey of recent results