호남수학학술지 (Honam Mathematical Journal)

  • 제45권1호
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  • Pages.160-183
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  • 2023
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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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)
  • 투고 : 2022.10.26
  • 심사 : 2022.12.02
  • 발행 : 2023.03.25
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초록

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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참고문헌

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