Strong approximation by Fourier-Laplace series on the unit sphere \(\mathbf S^{n-1}\)

DOI10.1023/B:AMHU.0000023210.94136.89zbMath1050.42017OpenAlexW1988483079MaRDI QIDQ1878816

Gavin Brown, Feng Dai, Ferenc Móricz

Publication date: 8 September 2004

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:amhu.0000023210.94136.89

zbMATH Keywords

Cesàro meansJacobi polynomialsstrong approximationFourier-Laplace seriescritical indexmoduli of continuityequiconvergent operatorspherical harmonics on \(\mathbf S^{n-1}\)translation operator on \(\mathbf S^{n-1}\)

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Multidimensional problems (41A63) Approximation by operators (in particular, by integral operators) (41A35)

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