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Non-Newtonian Comment of Lebesgue Measure in Real Numbers

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  • Cenap Duyar
  • Birsen Sağır

Abstract

We would like to generalize to non-Newtonian real numbers the usual Lebesgue measure in real numbers. For this purpose, we introduce the Lebesgue measure on open and closed sets in non-Newtonian sense and examine their basic properties.

Suggested Citation

  • Cenap Duyar & Birsen Sağır, 2017. "Non-Newtonian Comment of Lebesgue Measure in Real Numbers," Journal of Mathematics, Hindawi, vol. 2017, pages 1-4, February.
    • Handle: RePEc:hin:jjmath:6507013
    DOI: 10.1155/2017/6507013
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    References listed on IDEAS

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    1. Ahmet Faruk Çakmak & Feyzi Başar, 2014. "Certain Spaces of Functions over the Field of Non-Newtonian Complex Numbers," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, April.
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