About: Regulated integral

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In mathematics, the regulated integral is a definition of integration for regulated functions, which are defined to be uniform limits of step functions. The use of the regulated integral instead of the Riemann integral has been advocated by Nicolas Bourbaki and Jean Dieudonné.

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  • In mathematics, the regulated integral is a definition of integration for regulated functions, which are defined to be uniform limits of step functions. The use of the regulated integral instead of the Riemann integral has been advocated by Nicolas Bourbaki and Jean Dieudonné. (en)
  • 数学における方正積分（ほうせいせきぶん、英: regulated integral; 統制積分）は方正函数（あるいは統制函数: 階段函数の一様極限として得られる函数）の積分法である。リーマン積分ではなく方正積分を用いることはブルバキ（ジャン・デュドネ）によって提唱されていた。 (ja)
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  • In mathematics, the regulated integral is a definition of integration for regulated functions, which are defined to be uniform limits of step functions. The use of the regulated integral instead of the Riemann integral has been advocated by Nicolas Bourbaki and Jean Dieudonné. (en)
  • 数学における方正積分（ほうせいせきぶん、英: regulated integral; 統制積分）は方正函数（あるいは統制函数: 階段函数の一様極限として得られる函数）の積分法である。リーマン積分ではなく方正積分を用いることはブルバキ（ジャン・デュドネ）によって提唱されていた。 (ja)
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  • 方正積分 (ja)
  • Regulated integral (en)
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