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Some Fractional Corrected Dual Euler-Simpson Type Inequalities for Differentiable Strongly Preinvex Functions

Authors

  • Lilia Zenkoufi Department of Mathematics, Faculty of Mathematics, Computer Science and Material Sciences, University 8 may 1945 Guelma, Guelma 24000, Algeria
  • Abdelkader Moumen Department of Mathematics, College of Science, University of Hail, Hail 55473, Saudi Arabia https://orcid.org/0000-0003-1080-3686
  • Hicham Saber Department of Mathematics, College of Science, University of Hail, Hail 55473, Saudi Arabia
  • Badreddine Meftah Department of Mathematics, Faculty of Mathematics, Computer Science and Material Sciences, University 8 may 1945 Guelma, Guelma 24000, Algeria

DOI:

https://doi.org/10.37256/cm.7320269378

Keywords:

corrected dual Euler-Simpson inequality, strong preinvex functions, Hölder inequality, power mean inequality

Abstract

In this paper, we introduce a new integral identity involving Riemann-Liouville fractional operators. By considering functions with strongly preinvex first derivatives, we derive several corrected dual Euler-Simpson type inequalities in the fractional setting. The results obtained broaden the scope of traditional inequalities by incorporating fractional and preinvex structures, and offer new insights into fractional analysis. Specific cases and applications to various mean-type inequalities are discussed, underscoring the utility of the proposed framework.

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Published

2026-05-26

How to Cite

1.
Zenkoufi L, Moumen A, Saber H, Meftah B. Some Fractional Corrected Dual Euler-Simpson Type Inequalities for Differentiable Strongly Preinvex Functions. Contemp. Math. [Internet]. 2026 May 26 [cited 2026 Jun. 1];7(3):3478-501. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/9378