Kernels and best approximations related to the system of ultraspherical polynomials
DOI10.1016/j.jat.2004.12.013zbMath1074.41003OpenAlexW2096992670MaRDI QIDQ1772699
Francisco Marcellán, Viktor I. Kolyada
Publication date: 21 April 2005
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10016/5952
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)
Cites Work
- Relationships between the best approximations in different metrics
- Some generalizations of the Hardy-Littlewood-Paley theorem
- A transplantation theorem between ultraspherical series
- IMBEDDING THEOREMS AND INEQUALITIES IN VARIOUS METRICS FOR BEST APPROXIMATIONS
- IMBEDDING THEOREMS AND RELATIONS BETWEEN BEST APPROXIMATIONS (MODULI OF CONTINUITY) IN DIFFERENT METRICS
- The Mean Convergence of Orthogonal Series. II
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