Quadrature Formulas for Singular Integrals Containing the Values of a Function and Its Derivatives
Quadrature formulas for singular integrals on the integration interval [−1, 1] with certain weight functions $$p(t)$$ are constructed. The formulas use the values of the function and its derivatives at the zeros of the Chebyshev polynomial. The resulting formulas are quadrature formulas of the interpolation type and have an algebraic degree of accuracy $$2m - 1$$ . The error estimate is given.
Authors
- Ш.С. Хубежты
- L. Yu. Plieva
Institutions
- Financial University (RU)
- North Ossetian State University (RU)
- Federal State Budgetary Institution of Science Federal Scientific Center "Vladikavkaz Scientific Center of the Russian Academy of Sciences" (RU)
Publication Details
- Journal
- Computational Mathematics and Mathematical Physics
- Published
- 2024-12-01
- DOI
- https://doi.org/10.1134/s0965542524701732
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00