Moduli of smoothness and approximation on the unit sphere and the unit ball

DOI10.1016/j.aim.2010.01.001zbMath1193.41010arXiv0907.4968OpenAlexW1984348230MaRDI QIDQ977500

Feng Dai, Yuan Xu

Publication date: 22 June 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4968

zbMATH Keywords

sphere\(K\)-functionalmodulus of smoothnessbest approximationballEuler angle

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63)

Related Items (13)

Equivalence of K-functionals and moduli of smoothness generated by the Beltrami-Laplace operator on the spaces \(S^{(p,q)}(\sigma^{m-1})\) ⋮ Riesz transforms and fractional integration for orthogonal expansions on spheres, balls and simplices ⋮ New moduli of smoothness on the unit ball, applications and computability ⋮ Orthogonal polynomial projection error measured in Sobolev norms in the unit disk ⋮ Best Polynomial Approximation on the Unit Sphere and the Unit Ball ⋮ Jackson-Type inequality in Hilbert spaces and on homogeneous manifolds ⋮ New moduli of smoothness on the unit ball and other domains, introduction and main properties ⋮ Approximation and localized polynomial frame on conic domains ⋮ Polynomial approximation in Sobolev spaces on the unit sphere and the unit ball ⋮ Polynomial approximation in several variables ⋮ Smoothness of solutions of a convolution equation of restricted type on the sphere ⋮ Unnamed Item ⋮ Orthogonal structure and orthogonal series in and on a double cone or a hyperboloid

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