A Study on the Modified Form of Riemann-Type Fractional Inequalities via Convex Functions and Related Applications

oleh: Muhammad Samraiz, Maria Malik, Kanwal Saeed, Saima Naheed, Sina Etemad, Manuel De la Sen, Shahram Rezapour

Format: Article
Diterbitkan: MDPI AG 2022-12-01

Deskripsi

In this article, we provide constraints for the sum by employing a generalized modified form of fractional integrals of Riemann-type via convex functions. The mean fractional inequalities for functions with convex absolute value derivatives are discovered. Hermite–Hadamard-type fractional inequalities for a symmetric convex function are explored. These results are achieved using a fresh and innovative methodology for the modified form of generalized fractional integrals. Some applications for the results explored in the paper are briefly reviewed.