The Jackson inequality and widths of function classes in \(L^2([0,1],x^{2v+1})\)

DOI10.1016/J.JCO.2012.04.004zbMath1258.41006OpenAlexW159761946MaRDI QIDQ454826

Chun-Mei Su, Yong-ping Liu, Jian Li

Publication date: 10 October 2012

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2012.04.004

zbMATH Keywords

Jackson inequalityBessel function\(n\)-widths of function classescontinuous modulus of order \(\alpha \)derivative of order \(\lambda \)

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (2)

Unnamed Item ⋮ Dunkl's theory and best approximation by entire functions of exponential type in \(L_{2}\)-metric with power weight

Cites Work

• Jackson-type inequalities and widths of function classes in \(L_{2}\)
• On Jackson's inequality in \(L_2\)
• Equiconvergence Theorems for Fourier-Bessel Expansions with Applications to the Harmonic Analysis of Radial Functions in Euclidean and Noneuclidean Spaces
• Higher Monotonicity Properties of Certain Sturm-Liouville Functions. IV
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