대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제37권2호
  • /
  • Pages.415-421
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  • 2022
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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A FUNDAMENTAL THEOREM OF CALCULUS FOR THE Mα-INTEGRAL

  • 투고 : 2021.02.04
  • 심사 : 2021.05.17
  • 발행 : 2022.04.30
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초록

This paper presents a fundamental theorem of calculus, an integration by parts formula and a version of equiintegrability convergence theorem for the Mα-integral using the Mα-strong Lusin condition. In the convergence theorem, to be able to relax the condition of being point-wise convergent everywhere to point-wise convergent almost everywhere, the uniform Mα-strong Lusin condition was imposed.

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과제정보

The author would like to thank the referees for carefully reading his manuscript and for the valuable suggestions.

참고문헌

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