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In this paper, we define proportional fractional integrals for continuous functions of two variables. Then, we prove the Hermite-Hadamard type inequalities for coordinated convex functions by using proportional fractional integrals. Many results obtained in this paper provide significant extensions of other related results given in the literature. Finally, we give some examples of our results.

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On Hermite-Hadamard Type Inequalities for Co-ordinated Convex Functions via Proportional Fractional Integrals

  • 章节

  • 发表日期：

    2025年

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  • Ali Muhammedoğlu,
  • Abdullah Akkurt,
  • Hüseyin Yıldırım

摘要

In this paper, we define proportional fractional integrals for continuous functions of two variables. Then, we prove the Hermite-Hadamard type inequalities for coordinated convex functions by using proportional fractional integrals. Many results obtained in this paper provide significant extensions of other related results given in the literature. Finally, we give some examples of our results.