The Minkowski inequality associated with constant proportional fractional integrals

Document Type : Original Article

Authors

Barış Çelik ¹

Erhan Set ¹

Ahmet Ocak Akdemir ²

Praveen Agarwal ³

¹ Department of Mathematics‎, ‎Faculty of Science and Arts‎, ‎Ordu University‎, ‎Ordu‎, ‎Turkey

² Department of Mathematics‎, ‎Faculty of Arts and Sciences‎, ‎Agri Ibrahim Cecen University‎, ‎Agri‎, ‎Turkey

³ International Center for Basic and Applied Sciences‎ and Department of Mathematics‎, ‎Anand International College of Engineering‎, ‎Jaipur‎, ‎302029‎, ‎India

10.22034/kjm.2024.395800.2854

Abstract

The aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the constant proportional (CP) fractional integral operator. The properties of integral operator and some elemantery analysis methods have been used in the methodology. The inequalities presented in this paper are more general than the existing classical inequalities cited.

Keywords

Integral inequality

Minkowski's inequality

Reverse Minkowski inequality

constant proportional fractional integral

Subjects

• 28 Measure and integration

---