Tempered fractional version of trapezoid-type inequalities

• Published in: Journal of inequalities and applications Vol. 2025; no. 1; pp. 91 - 11
• Main Authors: Hezenci, Fatih, Budak, Hüseyin
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.12.2025; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Applications of Mathematics; Calculus; Convex analysis; Convex functions; Fractional calculus; Fractional integrals; Inequalities; Integrals; Mathematics; Mathematics and Statistics; Operators (mathematics); Tempered fractional integrals; Trapezoid-type inequalities; 26D10; Trapezoid-type inequalities; 26A33; Convex functions; Tempered fractional integrals; Fractional integrals; 26D07; 26D15

In this article, trapezoid-type inequalities are proved by means of convex functions according to tempered fractional integral operators. The resulting trapezoid-type inequalities generalize several studies on this subject, including those involving Riemann-Liouville fractional integrals. To obtain...