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<p>This paper investigates several Corrected Euler–Maclaurin-type inequalities for different function classes using Riemann–Liouville fractional integrals. The results, which are derived from special cases of theorems and illustrative examples, are subsequently presented. Furthermore, the authors have developed fractional Corrected Euler–Maclaurin-type inequalities for bounded functions. In addition, the research has acquired fractional Corrected Euler–Maclaurin-type inequalities for Lipschitzian functions. Finally, the study concludes with the derivation of fractional Corrected Euler–Maclaurin-type inequalities for functions of bounded variation.</p>

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New approaches to corrected Euler–Maclaurin-type inequalities involving Riemann–Liouville fractional integrals for different function classes

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月16日

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  • Hasan Kara,
  • Fatih Hezenci,
  • Arslan Munir,
  • Hüseyin Budak

摘要

This paper investigates several Corrected Euler–Maclaurin-type inequalities for different function classes using Riemann–Liouville fractional integrals. The results, which are derived from special cases of theorems and illustrative examples, are subsequently presented. Furthermore, the authors have developed fractional Corrected Euler–Maclaurin-type inequalities for bounded functions. In addition, the research has acquired fractional Corrected Euler–Maclaurin-type inequalities for Lipschitzian functions. Finally, the study concludes with the derivation of fractional Corrected Euler–Maclaurin-type inequalities for functions of bounded variation.