Error estimates for some quadrature rules with maximal trigonometric degree of exactness
DOI10.1002/mma.2929zbMath1298.65199OpenAlexW1965519710MaRDI QIDQ2875741
Marija P. Stanić, Tatjana V. Tomović, Aleksandar S. Cvetković
Publication date: 11 August 2014
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.2929
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical methods for trigonometric approximation and interpolation (65T40) Trigonometric polynomials, inequalities, extremal problems (42A05)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- The error norm of quadrature formulae
- Szegő-Lobatto quadrature rules
- Error bounds of certain Gaussian quadrature formulae
- Error estimates for Gaussian quadratures of analytic functions
- Gaussian quadrature of Chebyshev polynomials
- Some error expansions for Gaussian quadrature
- Trigonometric orthogonal systems and quadrature formulae
- On bi-orthogonal systems of trigonometric functions and quadrature formulas for periodic integrands
- Explicit formulas for five-term recurrence coefficients of orthogonal trigonometric polynomials of semi-integer degree
- Bounds on the error of Gauss-type quadratures
- Positive trigonometric quadrature formulas and quadrature on the unit circle
- Trigonometric Orthogonal Systems
- Error Bounds for Gaussian Quadrature of Analytic Functions
- Minimal Solutions of Three-Term Recurrence Relations and Orthogonal Polynomials
- Construction of Algebraic Cubature Rules Using Polynomial Ideal Theory
- Quadrature formulae of the highest trigonometric degree of accuracy
- A Note on the Contour Integral Representation of the Remainder Term for a Gauss–Chebyshev Quadrature Rule
- The remainder term for analytic functions of symmetric Gaussian quadratures
This page was built for publication: Error estimates for some quadrature rules with maximal trigonometric degree of exactness
