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<p>Under a wide concept of generalized integrals, classical results like the Lebesgue dominated convergence theorem and the rearrangement Riemann theorem are presented and proven. At the end of the paper, an application of the rearrangement theorem provides us with more information about the connection between generalized and improper integrals.</p>

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Generalized Integrals and Convergence Theorems

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年5月9日

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  • Diego Francisco Alcaraz-Ubach,
  • Miguel Antonio Jiménez-Pozo

摘要

Under a wide concept of generalized integrals, classical results like the Lebesgue dominated convergence theorem and the rearrangement Riemann theorem are presented and proven. At the end of the paper, an application of the rearrangement theorem provides us with more information about the connection between generalized and improper integrals.