A note on the generalization of Minkowski's and some other types of integral inequalities via modified AB-fractional operator

Many researchers are attracted to the AB-fractional integral operators for the investigation of a wide range of problems in divers fields. In this paper, we take into consideration the definition of modified AB-fractional integral operators recently proposed by [W. H. Huang, M. Samraiz, A. Mehmood, D. Baleanu, G. Rahman, S. Naheed, Alex. Eng. J., \(\bf 75\) (2023), 639--648]. With the modified AB-fractional integral operators, we propose a generalization of the reverse Minkowski inequality. We also use the modified AB-fractional integral operator to develop some more related integral inequalities. The inequalities in this paper are more general as compared to the existing inequalities. These inequalities extend fractional versions of Minkowski-type inequalities that are both previously known and novel.

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Publication Details

Journal
Journal of Mathematics and Computer Science
Published
2025-05-30
DOI
https://doi.org/10.22436/jmcs.040.01.03
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

A note on the generalization of Minkowski's and some other types of integral inequalities via modified AB-fractional operator

C. Yíldíz, Nabil Mlaiki, Suhad Subhi Aiadi, Gauhar Rahman et al.
Journal of Mathematics and Computer Science
Mathematical Inequalities and Applications
article

A note on the generalization of Minkowski's and some other types of integral inequalities via modified AB-fractional operator

C. Yíldíz, Nabil Mlaiki, Suhad Subhi Aiadi, Gauhar Rahman, Muhammad Samraiz
article en

Abstract

Many researchers are attracted to the AB-fractional integral operators for the investigation of a wide range of problems in divers fields. In this paper, we take into consideration the definition of modified AB-fractional integral operators recently proposed by [W. H. Huang, M. Samraiz, A. Mehmood, D. Baleanu, G. Rahman, S. Naheed, Alex. Eng. J., \(\bf 75\) (2023), 639--648]. With the modified AB-fractional integral operators, we propose a generalization of the reverse Minkowski inequality. We also use the modified AB-fractional integral operator to develop some more related integral inequalities. The inequalities in this paper are more general as compared to the existing inequalities. These inequalities extend fractional versions of Minkowski-type inequalities that are both previously known and novel.

Journal of Mathematics and Computer ScienceVol. 40(01)
Prince Sultan University
Reduced inequalities
Openalex Percentile: Top 83%
Mathematical Inequalities and Applications
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A note on the generalization of Minkowski's and some other types of integral inequalities via modified AB-fractional operator — C. Yíldíz, Nabil Mlaiki, et al. · Journal of Mathematics and Computer Science (2025) | TGRS Research Map | TGRS