NON-NEWTONIAN IMPROPER INTEGRALS

Erdogan M., Duyar C.

JOURNAL OF SCIENCE AND ARTS, sa.1, ss.49-74, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2018
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.49-74
  • Anahtar Kelimeler: Non-Newtonian improper integrals, Non-Newtonian calculus, Convergence tests
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.