Hermite-Hadamard-Fejér Type Inequalities for h-convex Functions Involving ψ-Hilfer Operators

Authors

DOI:

https://doi.org/10.63286/jima.015

Keywords:

B-function, h-convex function, incomplete beta function, ψ-Hilfer operator, Hermite–Hadamard–Fejér inequality

Abstract

We use a new type of function called a B-function to create a new version of fractional Hermite–Hadamard–Fejér and trapezoid-type inequalities on the right side. To achieve this objective, we utilize h-convex functions and ψ-Hilfer operators. Furthermore, we introduce novel trapezoidal-type inequalities for specific convex classes utilizing Riemann–Liouville operators through particular instances of the principal results.

References

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Published

15.08.2025

How to Cite

Benaissa, B., & Azzouz, N. (2025). Hermite-Hadamard-Fejér Type Inequalities for h-convex Functions Involving ψ-Hilfer Operators. Journal of Inequalities and Mathematical Analysis, 1(2), 113–123. https://doi.org/10.63286/jima.015

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