CERTAIN SIMPSON-TYPE INEQUALITIES FOR TWICE-DIFFERENTIABLE FUNCTIONS BY CONFORMABLE FRACTIONAL INTEGRALS

Hezenci F., Budak H.

KOREAN JOURNAL OF MATHEMATICS, cilt.31, sa.2, ss.217-228, 2023 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.11568/kjm.2023.31.2.217
  • Dergi Adı: KOREAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.217-228
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, an equality is established by twice-differentiable convex functions with respect to the conformable fractional integrals. Moreover, several Simpson-type inequalities are presented for the case of twice-differentiable convex functions via conformable fractional integrals by using the established equality. Fur-thermore, our results are provided by using special cases of obtained theorems.