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Discrepancy Estimates on the Sphere

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Abstract.

 For measures on the unit sphere in ℝd, d≥3, we derive discrepancy estimates in terms of the quality of corresponding quadrature formulas and in terms of bounds for potential differences.

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Authors and Affiliations

  1. Katholische Universitaüt Eichstaütt, Germany, , , , , , DE

    V. V. Andrievskii, H.-P. Blatt & M. Goütz

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  1. V. V. Andrievskii
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  2. H.-P. Blatt
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  3. M. Goütz
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(Received 1 August 1998; in revised form 30 December 1998)

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Andrievskii, V., Blatt, HP. & Goütz, M. Discrepancy Estimates on the Sphere. Mh Math 128, 179–188 (1999). https://doi.org/10.1007/s006050050056

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  • DOI: https://doi.org/10.1007/s006050050056

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