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

Authors :
Samraiz, Muhammad
Malik, Maria
Saeed, Kanwal
Naheed, Saima
Etemad, Sina
De la Sen, Manuel
Rezapour, Shahram
Source :
Symmetry (20738994). Dec2022, Vol. 14 Issue 12, p2682. 14p.
Publication Year :
2022

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20738994
Volume :
14
Issue :
12
Database :
Academic Search Index
Journal :
Symmetry (20738994)
Publication Type :
Academic Journal
Accession number :
161003996
Full Text :
https://doi.org/10.3390/sym14122682