NON-NEWTONIAN IMPROPER INTEGRALS

Erdogan M., Duyar C.

JOURNAL OF SCIENCE AND ARTS, no.1, pp.49-74, 2018 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2018
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.49-74
  • Keywords: Non-Newtonian improper integrals, Non-Newtonian calculus, Convergence tests
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this study, non-Newtonian improper integrals were introduced and their convergence conditions were investigated. Furthermore, some main theorems such as the second mean value theorem and intermediate value theorem were proved in the non-Newtonian sense to be given convergence tests.