Approximation Properties of Fourier Sums in Jacobi–Sobolev Polynomials
Fourier series in Sobolev-orthogonal polynomials $$p_{1,n}^{\alpha,\beta}$$ , associated with Jacobi polynomials, are considered. For $$\alpha,\beta\ge0$$ , estimates for the rate of convergence of these Fourier series are obtained in terms of the best approximation in a uniform metric.
Authors
- M. G. Magomed-Kasumov
- R. M. Gadzhimirzaev
Institutions
- Russian Academy of Sciences (RU)
- Dagestan Scientific Center of the Russian Academy of Sciences (RU)
- Federal State Budgetary Institution of Science Federal Scientific Center "Vladikavkaz Scientific Center of the Russian Academy of Sciences" (RU)
Publication Details
- Journal
- Mathematical Notes
- Published
- 2026-09-30
- DOI
- https://doi.org/10.1134/s0001434626604545
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 0.00