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Remarks On Inequalities With Parameter By Conformable Fractional Integrals

Author

Listed:
  • FATIH HEZENCI

    (Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce 81620, Turkey)

  • MIGUEL VIVAS-CORTEZ

    (��Escuela de Ciencias Físicas y Matemáticas, Facultad de Ciencias Naturales y Exactas, Pontificia Universidad Católica del Ecuador, Sede Quito, Ecuador)

  • HÃœSEYIN BUDAK

    (Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce 81620, Turkey)

Abstract

We prove that an equation holds for differentiable convex functions, and this result has been derived using conformable integrals. With the help of this equality, several parameterized inequalities are established by using the conformable fractional integrals. Namely, we show that our main inequalities reduce to Ostrowski-, Hermite–Hadamard-, Simpson-, and Bullen-type inequalities which are proved in earlier published papers. More precisely, some inequalities are acquired by taking advantage of the convexity, the Hölder, and the power mean inequalities. Finally, examples are given to illustrate the investigated results.

Suggested Citation

  • Fatih Hezenci & Miguel Vivas-Cortez & Hãœseyin Budak, 2025. "Remarks On Inequalities With Parameter By Conformable Fractional Integrals," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(03), pages 1-16.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:03:n:s0218348x24501378
    DOI: 10.1142/S0218348X24501378
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