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Volumn 141, Issue 2, 2006, Pages 118-133

Cubature over the sphere S2 in Sobolev spaces of arbitrary order

Author keywords

Cubature; Cubature rules on the sphere; Numerical integration; Reproducing kernel; Sobolev space; Sphere; Spherical caps; Worst case error

Indexed keywords


EID: 33746576281     PISSN: 00219045     EISSN: 10960430     Source Type: Journal    
DOI: 10.1016/j.jat.2006.01.004     Document Type: Article
Times cited : (52)

References (13)
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    • Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
    • (Corrigendum: Math. Comp. 71 (2002) 453-454)
    • Mhaskar H.N., Narcowich F.J., and Ward J.D. Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature. Math. Comp. 70 (2001) 1113-1130 (Corrigendum: Math. Comp. 71 (2002) 453-454)
    • (2001) Math. Comp. , vol.70 , pp. 1113-1130
    • Mhaskar, H.N.1    Narcowich, F.J.2    Ward, J.D.3
  • 7
    • 33746512714 scopus 로고    scopus 로고
    • C. Müller, Spherical Harmonics, Lecture Notes in Mathematics, vol. 17, Springer, Berlin, 1966.
  • 8
    • 0032283665 scopus 로고    scopus 로고
    • Approximation by ridge functions and neural networks
    • Petrushev P.P. Approximation by ridge functions and neural networks. SIAM J. Math. Anal. 30 (1998) 155-189
    • (1998) SIAM J. Math. Anal. , vol.30 , pp. 155-189
    • Petrushev, P.P.1
  • 10
    • 0001293761 scopus 로고    scopus 로고
    • Hyperinterpolation on the sphere at the minimal projection order
    • Reimer M. Hyperinterpolation on the sphere at the minimal projection order. J. Approx. Theory 104 (2000) 272-286
    • (2000) J. Approx. Theory , vol.104 , pp. 272-286
    • Reimer, M.1
  • 11
    • 0002700734 scopus 로고    scopus 로고
    • Constructive polynomial approximation on the sphere
    • Sloan I.H., and Womersley R.S. Constructive polynomial approximation on the sphere. J. Approx. Theory 103 (2000) 91-118
    • (2000) J. Approx. Theory , vol.103 , pp. 91-118
    • Sloan, I.H.1    Womersley, R.S.2
  • 13
    • 33746537335 scopus 로고    scopus 로고
    • G. Szegö, Orthogonal Polynomials, American Mathematical Society Colloquium Publications, fourth ed., vol. 23, American Mathematical Society, Providence, 1975.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.