New Grüss’s inequalities estimates considering the φ-fractional integrals

Careful study of applied sciences and their development requires us to expand the scope of analytical studies. We aim during introducing the current manuscript to rediscover and present Grüss inequality in a new framework. In order to do that, we use the recently generalized proportional fractional...

Full description

Saved in:
Bibliographic Details
Published inPartial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters Vol. 11; p. 100836
Main Authors Redhwan, Saleh S., Aljaaidi, Tariq A., Ali, Ali Hasan, Alyami, Maryam Ahmed, Alsulami, Mona, Alghamdi, Najla
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.09.2024
Elsevier
Subjects
Fractional inequalities
Grüss inequalities
φ-proportional fractional operators
Fractional inequalities
26D10
26A33
Grüss inequalities
φ-proportional fractional operators
Online AccessGet full text

Cover

More Information
Summary:Careful study of applied sciences and their development requires us to expand the scope of analytical studies. We aim during introducing the current manuscript to rediscover and present Grüss inequality in a new framework. In order to do that, we use the recently generalized proportional fractional integral operator for a certain function with respect to another continuous and strictly increasing function. Furthermore, we prove some new related inequalities using the current fractional integral operator. Some special cases of the presented results will be discussed.
ISSN:2666-8181
2666-8181
DOI:10.1016/j.padiff.2024.100836