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A FUNDAMENTAL THEOREM OF CALCULUS FOR THE Mα-INTEGRAL

  • Received : 2021.02.04
  • Accepted : 2021.05.17
  • Published : 2022.04.30
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Abstract

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.

Keywords

Acknowledgement

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

References

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