Honam Mathematical Journal (호남수학학술지)

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FRACTIONAL TRAPEZOID AND NEWTON TYPE INEQUALITIES FOR DIFFERENTIABLE S-CONVEX FUNCTIONS

  • Fatih Hezenci (Department of Mathematics, Faculty of Science and Arts, Duzce University) ;
  • Huseyin Budak (Department of Mathematics, Faculty of Science and Arts, Duzce University) ;
  • Muhammad Aamir Ali (Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University)
  • Received : 2022.10.26
  • Accepted : 2022.12.02
  • Published : 2023.03.25
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Abstract

In the present paper, we prove that our main inequality reduces to some trapezoid and Newton type inequalities for differentiable s-convex functions. These inequalities are established by using the well-known Riemann-Liouville fractional integrals. With the help of special cases of our main results, we also present some new and previously obtained trapezoid and Newton type inequalities.

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References

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