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Volumn 21, Issue 6, 2005, Pages 790-803

Optimal lower bounds for cubature error on the sphere S2

Author keywords

Cubature; Lower bounds for cubature error; Numerical integration; Optimal estimates; Sobolev space; Sphere; Sphere packing; Spherical caps; Worst case error

Indexed keywords

ERROR ANALYSIS; FUNCTIONS;

EID: 27844500239     PISSN: 0885064X     EISSN: 10902708     Source Type: Journal    
DOI: 10.1016/j.jco.2005.07.004     Document Type: Article
Times cited : (34)

References (13)
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  • 2
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  • 5
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    • 2
    • K. Hesse, and I.H. Sloan Worst-case errors in a Sobolev space setting for cubature over the sphere S 2 Bull. Austral. Math. Soc. 71 2005 81 105
    • (2005) Bull. Austral. Math. Soc. , vol.71 , pp. 81-105
    • Hesse, K.1    Sloan, I.H.2
  • 6
    • 27844551251 scopus 로고    scopus 로고
    • S2 in Sobolev spaces of arbitrary order
    • The University of New South Wales, August submitted for publication
    • K. Hesse, I.H. Sloan, Cubature over the sphere S 2 in Sobolev spaces of arbitrary order, Applied Mathematics Report AMR04/27, The University of New South Wales, August 2004, submitted for publication.
    • (2004) Applied Mathematics Report , vol.AMR04-27
    • Hesse, K.1    Sloan, I.H.2
  • 7
    • 0035608775 scopus 로고    scopus 로고
    • Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
    • H.N. Mhaskar, F.J. Narcowich, and J.D. Ward 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
  • 8
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    • Deterministic and stochastic error bounds in numerical analysis
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    • E. Novak Deterministic and stochastic error bounds in numerical analysis Lecture Notes in Mathematics vol. 1349 1988 Springer Berlin, Heidelberg
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  • 9
    • 0032283665 scopus 로고    scopus 로고
    • Approximation by ridge functions and neural networks
    • P.P. Petrushev Approximation by ridge functions and neural networks SIAM J. Math. Anal. 30 1998 155 189
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    • American Mathematical Society Colloquium Publications, 4th ed. American Mathematical Society, Providence, RI
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.