Pompeiu Type Inequalities using Conformable Fractional Calculus and its Applications

Authors

  • Samet Erden
  • M. Zeki Sarikaya

Keywords:

Pompeiu’s mean value theorem, conformable fractional integral, numerical integration, special means.

Abstract

We establish Pompeiu’s mean value theorem for α-fractional differentiable mappings. Then, some Pompeiu type inequalities including conformable fractional integrals are obtained, and the weighted versions of this Pompeiu type inequalities are presented. Finally, some applications for quadrature rules and special means are given.

Key words and phrases. Pompeiu’s mean value theorem, conformable fractional integral, numerical integration, special means.

2010 Mathematics Subject Classification. 26D10, 26D15, 26A33

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Published

2025-05-18

How to Cite

Samet Erden, & M. Zeki Sarikaya. (2025). Pompeiu Type Inequalities using Conformable Fractional Calculus and its Applications. Jordan Journal of Mathematics and Statistics, 14(3), 527–544. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/799

Issue

Vol. 14 No. 3 (2021)

Section

Articles