A Study on the Modified Form of Riemann-Type Fractional Inequalities via Convex Functions and Related Applications
Muhammad Samraiz,
Maria Malik,
Kanwal Saeed,
Saima Naheed,
Sina Etemad,
Manuel De la Sen,
Shahram Rezapour
Affiliations
Muhammad Samraiz
Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
Maria Malik
Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
Kanwal Saeed
Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
Saima Naheed
Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
Sina Etemad
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz 3751-71379, Iran
Manuel De la Sen
Institute of Research and Development of Processes, Department of Electricity and Electronics, Faculty of Science and Technology, University of the Basque Country (UPV/EHU), 48940 Leioa, Bizkaia, Spain
Shahram Rezapour
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz 3751-71379, Iran
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.
