The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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NEW EXTENSIONS OF THE HERMITE-HADAMARD INEQUALITIES BASED ON 𝜓-HILFER FRACTIONAL INTEGRALS

  • Huseyin Budak (Department of Mathematics, Faculty of Science and Arts, Duzce University) ;
  • Umut Bas (Department of Mathematics, Faculty of Science, Kahramanmaras SutccuImam University) ;
  • Hasan Kara (Department of Mathematics, Faculty of Science and Arts, Duzce University) ;
  • Mohammad Esmael Samei (Department of Mathematics, Faculty of Science, Bu-Ali Sina University)
  • Received : 2024.04.07
  • Accepted : 2024.07.16
  • Published : 2024.08.31
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Abstract

This article presents the above and below bounds for Midpoint and Trapezoid types inequalities for 𝜓-Hilfer fractional integrals with the assistance of the functions whose second derivatives are bounded. We also possess some extensions and generalizations of Hermite-Hadamard inequalities via 𝜓-Hilfer fractional integrals with the aid of the functions that have the conditions that will said.

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References

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