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<p>The manuscript’s authors examine some Milne-type inequalities for various function classes. Firstly, some Milne-type inequalities are established for differentiable convex functions by using Riemann-Liouville integrals. Secondly, we provide some fractional Milne-type inequalities for bounded functions by fractional integrals. Afterwards, we offer several Milne-type inequalities for Lipschitzian functions. Likewise, we offers Milne-type inequalities by fractional integrals of bounded variation. Finally, we demonstrate the correctness of our results by using special cases and examples of the obtained theorems.</p>

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Fractional Milne-type inequalities by various function classes

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Cihan Ünal,
  • Fatih Hezenci,
  • Hüseyin Budak

摘要

The manuscript’s authors examine some Milne-type inequalities for various function classes. Firstly, some Milne-type inequalities are established for differentiable convex functions by using Riemann-Liouville integrals. Secondly, we provide some fractional Milne-type inequalities for bounded functions by fractional integrals. Afterwards, we offer several Milne-type inequalities for Lipschitzian functions. Likewise, we offers Milne-type inequalities by fractional integrals of bounded variation. Finally, we demonstrate the correctness of our results by using special cases and examples of the obtained theorems.