Explicit quantitative estimates in the overconvergence of Chebyshev and Legendre orthogonal expansions on \([-1,1]\). (English) Zbl 1200.33027
Summary: We obtain very explicit quantitative estimates for the overconvergence in the complex plane of the partial sums of the Fourier-type expansions on \([-1,1]\) with respect to Chebyshev and Legendre orthogonal polynomials.
MSC:
| 33E30 | Other functions coming from differential, difference and integral equations |
| 42C10 | Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) |
