New moduli of smoothness on the unit ball, applications and computability
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Publication:2637502
DOI10.1016/j.jat.2013.12.002zbMath1293.41006OpenAlexW2064827546MaRDI QIDQ2637502
Publication date: 12 February 2014
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2013.12.002
Besov spacesbest approximationmoduli of smoothnessorthogonal expansionsharp Jackson inequalityNikolski and Ul'yanov-type inequality
Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Approximation by polynomials (41A10)
Related Items (3)
Problems and conjectures in approximation that I would like settled ⋮ On Nikol'skii inequalities for domains in \({\mathbb {R}}^d\) ⋮ Relating coefficients of expansion of a function to its norm
Cites Work
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- New moduli of smoothness on the unit ball and other domains, introduction and main properties
- On weighted uniform Cesàro summability of Jacobi-Fourier series
- Cesàro summability and Marchaud inequality
- Nikol'skii inequalities for Lorentz spaces
- Moduli of smoothness and approximation on the unit sphere and the unit ball
- Approximation by spherical functions
- Multivariate approximating averages.
- Relating smoothness to expressions involving Fourier coefficients or to a Fourier transform
- Ul'yanov and Nikol'skii-type inequalities
- Optimal cubature formulas in weighted Besov spaces with \(A _{\infty }\) weights on multivariate domains
- Convexity, moduli of smoothness and a Jackson-type inequality
- Sharp Jackson inequalities
- Approximation on Banach spaces of functions on the sphere
- Remarks on Besov Spaces and Best Polynomial Approximation
- Weak type estimates for Cesàro sums of Jacobi polynomial series
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
- A modulus of smoothness on the unit sphere
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