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On the Reverse Minkowski’s, Reverse Holder’s ¨ and Other Fractional Integral Inclusions Arising from Interval-Valued Mappings.

Authors :
Taichun Zhou
Tingsong Du
Source :
IAENG International Journal of Applied Mathematics. Dec2023, Vol. 53 Issue 4, p1294-1307. 14p.
Publication Year :
2023

Abstract

To investigate integral inclusions through interval valued mappings, we utilize the notion of the interval-valued fractional integrals having exponential kernels. We develop the reverse Minkowsky’s, including with the reverse Holder’s ¨ fractional integral inclusions in association with interval-valued mappings. Other fractional integral inclusions in relation to the Hermite–Hadamard-type inequalities are reported as well. Moreover, we provide some examples concerning interval valued mappings, to enucleate the correctness of the inclusion relations presented here. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*FRACTIONAL integrals

Details

Language :
English
ISSN :
19929978
Volume :
53
Issue :
4
Database :
Academic Search Index
Journal :
IAENG International Journal of Applied Mathematics
Publication Type :
Academic Journal
Accession number :
173982068