New Hermite-Hadamard fractional integral inequalities for s-geometry convex functions

Authors

  • Hesam Talebi University of Mazandaran, Babolsar, Iran
  • Abdolali Neamaty University of Mazandaran, Babolsar, Iran

DOI:

https://doi.org/10.21638/spbu01.2025.110

Abstract

In the present study, we discuss some types of the Hermite-Hadamard (H-H) fractional integral inequality, with Riemann-Liouville fractional integral for functions whose absolute values of the first derivatives to positive real powers (AVFDPRP) are s-geometrically convex. That was concluded for geometrically convex as well. As an application, by using special mean of real numbers, H-H inequalities with ordinary integral were generalized for functions whose (AVFDPRP) are geometrically convex or s-geometrically convex.

Keywords:

fractional integral, Hermite-Hadamard inequality, s-geometrically convex function

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Published

2025-05-14

How to Cite

Talebi, H., & Neamaty, A. (2025). New Hermite-Hadamard fractional integral inequalities for s-geometry convex functions. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 12(1), 129–143. https://doi.org/10.21638/spbu01.2025.110

Issue

Vol. 12 No. 1 (2025)

Section

Mathematics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.