Hermite-Hadamard-Type Inequalities Arising from Tempered Fractional Integrals Including Twice-Differentiable Functions

Hezenci F., BUDAK H., Latif M. A.

UKRAINIAN MATHEMATICAL JOURNAL, vol.76, no.9, pp.1572-1590, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 76 Issue: 9
  • Publication Date: 2025
  • Doi Number: 10.1007/s11253-025-02406-2
  • Journal Name: UKRAINIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.1572-1590
  • Kocaeli University Affiliated: No

Abstract

We propose a new method for the investigation of integral identities according to tempered fractional operators. In addition, we prove the midpoint-type and trapezoid-type inequalities by using twice-differentiable convex functions associated with tempered fractional integral operators. We use the well-known H & ouml;lder inequality and the power-mean inequality in order to obtain inequalities of these types. The resulting Hermite-Hadamard-type inequalities are generalizations of some investigations in this field, involving Riemann-Liouville fractional integrals.