Newton-type Inequalities for Fractional Integrals by Various Function Classes

Year 2025, Volume: 8 Issue: 2, 94 - 107, 27.06.2025

Fatih Hezenci , Hüseyin Budak , Tingsong Du

https://doi.org/10.32323/ujma.1660642

Abstract

The authors of the paper examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely, we establish some Newton-type inequalities for bounded functions by fractional integrals. In addition, we construct some fractional Newton-type inequalities for Lipschitzian functions. Furthermore, we offer some Newton-type inequalities by fractional integrals of bounded variation. Finally, we provide our results by using special cases of theorems and obtained examples.

Keywords

Bounded functions , Convex functions , Lipschitzian functions , Newton-type inequalities

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