Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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CERTAIN SIMPSON-TYPE INEQUALITIES FOR TWICE-DIFFERENTIABLE FUNCTIONS BY CONFORMABLE FRACTIONAL INTEGRALS

  • Fatih Hezenci (Department of Mathematics, Faculty of Science and Arts, Duzce University) ;
  • Huseyin Budak (Department of Mathematics, Faculty of Science and Arts, Duzce University)
  • Received : 2022.11.10
  • Accepted : 2023.06.21
  • Published : 2023.06.30
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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. Furthermore, our results are provided by using special cases of obtained theorems.

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References

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