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

Hezenci F., Budak H.

KOREAN JOURNAL OF MATHEMATICS, vol.31, no.2, pp.217-228, 2023 (ESCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 2
  • Publication Date: 2023
  • Doi Number: 10.11568/kjm.2023.31.2.217
  • Journal Name: KOREAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.217-228
  • Kocaeli University Affiliated: No

Abstract

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.