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Volumn 48, Issue 1-3, 2008, Pages 213-235

A walk through energy, discrepancy, numerical integration and group invariant measures on measurable subsets of euclidean space

Author keywords

Capacity; Compact homogeneous manifold; Discrepancy; Energy; Group; Invariant kernels; Invariant polynomial; Numerical integration; Projection kernels; Projective space; Quadature; Reflexive manifold; Riesz kernel; Sphere; Spherical harmonic; Torus; Weight

Indexed keywords


EID: 47749102485     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-008-9187-6     Document Type: Article
Times cited : (14)

References (11)
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    • Benko, D.: The support of the equilibrium measure. Acta. Sci. Math. (Szeged) 70(1-2), 35-55 (2004)
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    • Benko, D.1
  • 2
    • 0037268121 scopus 로고    scopus 로고
    • Approximation by weighted polynomials
    • 1
    • Benko, D.: Approximation by weighted polynomials. J. Approx. Theory 120(1), 153-182 (2003)
    • (2003) J. Approx. Theory , vol.120 , pp. 153-182
    • Benko, D.1
  • 4
    • 0038392442 scopus 로고    scopus 로고
    • Numerical integration, energy and asymptotic equidistributon on the sphere
    • Damelin, S.B., Grabner, P.: Numerical integration, energy and asymptotic equidistributon on the sphere. J. Complex. 19, 231-246 (2003)
    • (2003) J. Complex. , vol.19 , pp. 231-246
    • Damelin, S.B.1    Grabner, P.2
  • 8
    • 34250827665 scopus 로고    scopus 로고
    • Positive definite kernel interpolation on manifolds: Convergence rates
    • Schumaker, L.L., Stockler, J. (eds) Vanderbilt Univ. Press
    • Levesley, J., Ragozin, D.L.: Positive definite kernel interpolation on manifolds: convergence rates. In: Schumaker, L.L., Stockler, J. (eds) Approximation Theory X, pp. 277-285. Vanderbilt Univ. Press, (2002)
    • (2002) Approximation Theory X , pp. 277-285
    • Levesley, J.1    Ragozin, D.L.2
  • 9
    • 0000071649 scopus 로고
    • Constructive polynomial approximation on spheres and projective spaces
    • Ragozin, D.: Constructive polynomial approximation on spheres and projective spaces. TAMS 162, 157-170 (1971)
    • (1971) TAMS , vol.162 , pp. 157-170
    • Ragozin, D.1
  • 10
    • 0034230618 scopus 로고    scopus 로고
    • Scattered cardinal Hermite interpolation by positive definite functions
    • Sun, X.: Scattered cardinal Hermite interpolation by positive definite functions. Computers Comput. Math. Appl. 40, 165-169 (2000)
    • (2000) Computers Comput. Math. Appl. , vol.40 , pp. 165-169
    • Sun, X.1
  • 11
    • 14944384466 scopus 로고    scopus 로고
    • Strictly positive definite functions on the unit circle
    • Sun, X.: Strictly positive definite functions on the unit circle. Math Comput. 74, 709-721 (2005)
    • (2005) Math Comput. , vol.74 , pp. 709-721
    • Sun, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.