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Volumn 18, Issue 4, 2002, Pages 1001-1023

Kolmogorov width of classes of smooth functions on the sphere Sd-1

Author keywords

Kolmogorov width; Marcinkiewicz Zygmund inequality; Spherical harmonics; Weighted Kashin type inequality

Indexed keywords


EID: 0036889012     PISSN: 0885064X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcom.2002.0656     Document Type: Article
Times cited : (30)

References (15)
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    • (1994) Adv. Appl. Math , vol.15 , pp. 202-250
    • Driscoll, J.R.1    Healy, D.M.2
  • 3
    • 0001505557 scopus 로고
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    • (1983) Math. Sb , vol.120 , pp. 180-189
    • Gluskin, E.D.1
  • 5
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    • d-1) by polynomials in spherical harmonics
    • d-1) by polynomials in spherical harmonics, Math. Notes 32 (1982), 622-626.
    • (1982) Math. Notes , vol.32 , pp. 622-626
    • Kamzolov, A.I.1
  • 6
    • 84956066775 scopus 로고
    • On the Kolmogorov diameters of classes of smooth functions on a sphere
    • A. I. Kamzolov, On the Kolmogorov diameters of classes of smooth functions on a sphere, Russian Math. Survey 44(5) (1989), 196-197.
    • (1989) Russian Math. Survey , vol.44 , Issue.5 , pp. 196-197
    • Kamzolov, A.I.1
  • 7
    • 0001387808 scopus 로고
    • The widths of certain finite-dimensional sets and classes of smooth functions
    • B. S. Kashin, The widths of certain finite-dimensional sets and classes of smooth functions, Izv. Akad. Nauk SSSR 41 (1977), 334-351.
    • (1977) Izv. Akad. Nauk SSSR , vol.41 , pp. 334-351
    • Kashin, B.S.1
  • 10
    • 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.
    • (2001) Math. Comp , vol.70 , pp. 1113-1130
    • Mhaskar, H.N.1    Narcowich, F.J.2    Ward, J.D.3
  • 11
    • 0003074709 scopus 로고
    • A theorem of the Hahn-Banach type for linear transformations
    • L. Nachbin, A theorem of the Hahn-Banach type for linear transformations, Trans. Amer. Math. Soc. 68 (1950), 28-46.
    • (1950) Trans. Amer. Math. Soc , vol.68 , pp. 28-46
    • Nachbin, L.1
  • 13
    • 85031350233 scopus 로고
    • American Mathematical Society Colloquium Publications 23, 4th ed., Am. Math. Soc., Providence, RI
    • G. Szegö, "Orthogonal Polynomials," American Mathematical Society Colloquium Publications 23, 4th ed., Am. Math. Soc., Providence, RI, 1975.
    • (1975) "Orthogonal Polynomials"
    • Szegö, G.1
  • 15
    • 84953751498 scopus 로고
    • Cambridge Univ. Press, Cambridge, UK
    • A. Zygmund, "Trigonometric Series," Vols. I-II, Cambridge Univ. Press, Cambridge, UK, 1959.
    • (1959) "Trigonometric Series" , vol.1-2
    • Zygmund, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.