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January 22, 2026Fractal and FractionalOpen Access

Advanced Hermite-Hadamard-Mercer Type Inequalities with Refined Error Estimates and Applications

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Authors

AMArslan MunirHBHüseyin BudakAKArtion Kashuri

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Overview

The study develops new Hermite–Hadamard–Mercer inequalities using fractional integral operators, suggesting broader applications in mathematical analysis.

Key Points

  • This research aims to develop advanced Hermite-Hadamard-Mercer inequalities involving fractional integral operators and their various applications.
  • Developed Hermite–Hadamard–Mercer-type inequalities with fractional integral operators.
  • Derived inequalities specific to three-times differentiable convex functions.
  • Explored new results related to Young’s inequality and L-Lipschitzian functions.
  • Provided graphical representations to illustrate results.
  • Applied findings to special means and functions.
  • New Hermite-Hadamard-Mercer inequalities were established with refined error estimates.
  • Inequalities for three-times differentiable convex functions were successfully presented.
  • Results included new insights into Young’s inequality and bounded functions.
  • Graphical representations clarified the key findings, enhancing understanding of applications.

Cite This Study

Munir et al. (2026) studied this question.

synapsesocial.com/papers/6971bdec642b1836717e28fehttps://doi.org/10.3390/fractalfract10010071
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