Estimations of the remainder of spherical harmonic series

• Autores: Xirong Chang, Feng Dai, Kunyang Wang
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 145, Nº 1, 2008, págs. 243-255
• Idioma: inglés
• DOI: 10.1017/s030500410800131x
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• Resumen

  • An asymptotic estimate is obtained for the error in approximation of functions by partial sums of spherical harmonic expansions. The precise constant in the main term is found and the order of growth of the remainder term is given