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<p>Our aim is to investigate novel Bullen-type inequalities for coordinated convex mappings by employing conformable fractional integrals. Initially, an identity incorporating the conformable fractional integrals was established to serve for this purpose. By using this identity, new inequalities are derived expanding the scope of previously established results obtained with the help of Riemann–Liouville integrals by making specific choices of the variable and applying the Hölder inequality and the power-mean inequality.</p>

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New Results on Bullen-Type Inequalities for Coordinated Convex Functions Obtained by using Conformable Fractional Integrals

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • Fatih Hezenci,
  • Hasan Kara,
  • Hüseyin Budak

摘要

Our aim is to investigate novel Bullen-type inequalities for coordinated convex mappings by employing conformable fractional integrals. Initially, an identity incorporating the conformable fractional integrals was established to serve for this purpose. By using this identity, new inequalities are derived expanding the scope of previously established results obtained with the help of Riemann–Liouville integrals by making specific choices of the variable and applying the Hölder inequality and the power-mean inequality.