Convergence for Summation Methods with Multipliers on the Sphere

DOI10.1080/01630563.2010.494486zbMath1207.33018OpenAlexW2067158555MaRDI QIDQ3590042

A. C. Piantella, Valdir A. Menegatto

Publication date: 17 September 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.494486

zbMATH Keywords

spherical harmonicsmodulus of smoothnessrates of convergencespherical convolutionLaplace-Beltrami derivative

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Convolution, factorization for one variable harmonic analysis (42A85) Rate of convergence, degree of approximation (41A25) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Spherical harmonics (33C55) Harmonic analysis and spherical functions (43A90)

Related Items (2)

Old and New on the Laplace-Beltrami Derivative ⋮ Eigenvalue decay of positive integral operators on the sphere

Cites Work

• On the best approximation of functions on the sphere in the metric of \(L_ p(S^ n), 1<p<{\infty}\)
• Analysis of spherical symmetries in Euclidean spaces
• Multivariate polynomial approximation
• Approximation in rough native spaces by shifts of smooth kernels on spheres
• Some estimates for strong uniform approximation on sphere
• Approximation on the sphere by weighted Fourier expansions
• Über die Approximationsordnung bei Kugelfunktionen und algebraischen Polynomen
• A note on equivalence of moduli of smoothness on the sphere
• Harmonic Functions from a Complex Analysis Viewpoint
• Approximation by spherical convolution
• The Product of Two Legendre Polynomials
• A modulus of smoothness on the unit sphere
• Unnamed Item

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