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<p>This paper introduces interpolatory quadrature formulas for definite integrals associated with a measure supported on an arc of the unit circle. Their nodes are the nodes of Szegő quadratures corresponding to a Geronimus measure supported on that arc and their weights are asymptotically positive where the original measure is positive.</p>

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Interpolatory quadrature formulas on an arc of the unit circle

  • 期刊论文

  • 发表日期：

    2026年7月31日

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  • Adhemar Bultheel,
  • Leyla Daruis,
  • Carlos Díaz Mendoza

摘要

This paper introduces interpolatory quadrature formulas for definite integrals associated with a measure supported on an arc of the unit circle. Their nodes are the nodes of Szegő quadratures corresponding to a Geronimus measure supported on that arc and their weights are asymptotically positive where the original measure is positive.