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<p>We derive multiple inequalities employing exponential kernels in the context of fractional integrals. Within the framework of fractional calculus techniques, we explore novel Hermite–Hadamard type and Hermite–Hadamard–Fejér type inequalities applied to exponentially convex functions. These results provide valuable insights into the properties of exponentially convex functions and demonstrate the significance of fractional calculus in their analysis.</p>

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Hermite–Hadamard Type Inequalities Involving Fractional Integrals of Exponentially Convex Functions

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • Danish Malik,
  • Zamrooda Jabeen

摘要

We derive multiple inequalities employing exponential kernels in the context of fractional integrals. Within the framework of fractional calculus techniques, we explore novel Hermite–Hadamard type and Hermite–Hadamard–Fejér type inequalities applied to exponentially convex functions. These results provide valuable insights into the properties of exponentially convex functions and demonstrate the significance of fractional calculus in their analysis.