Non-Newtonian Comment of Lebesgue Measure in Real Numbers

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Duyar C., Sağır Duyar B.

JOURNAL OF MATHEMATICS, vol.2017, pp.1-4, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2017
  • Publication Date: 2017
  • Doi Number: 10.1155/2017/6507013
  • Journal Name: JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1-4
  • Ondokuz Mayıs University Affiliated: Yes

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.