Enlarged integral inequalities through recent fractional generalized operators
Abstract This paper is devoted to proving some new fractional inequalities via recent generalized fractional operators. These inequalities are in the Hermite–Hadamard and Minkowski settings. Many previously documented inequalities may clearly be deduced as specific examples from our findings. Moreov...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-07-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-022-02831-y |
| _version_ | 1811287152024092672 |
|---|---|
| author | Abd-Allah Hyder M. A. Barakat Ashraf Fathallah |
| author_facet | Abd-Allah Hyder M. A. Barakat Ashraf Fathallah |
| author_sort | Abd-Allah Hyder |
| collection | DOAJ |
| description | Abstract This paper is devoted to proving some new fractional inequalities via recent generalized fractional operators. These inequalities are in the Hermite–Hadamard and Minkowski settings. Many previously documented inequalities may clearly be deduced as specific examples from our findings. Moreover, we give some comparative remarks to show the advantage and novelty of the obtained results. |
| first_indexed | 2024-04-13T03:12:34Z |
| format | Article |
| id | doaj.art-f500d23a833c4eea8566da0b6dc25830 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-13T03:12:34Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-f500d23a833c4eea8566da0b6dc258302022-12-22T03:05:00ZengSpringerOpenJournal of Inequalities and Applications1029-242X2022-07-012022111210.1186/s13660-022-02831-yEnlarged integral inequalities through recent fractional generalized operatorsAbd-Allah Hyder0M. A. Barakat1Ashraf Fathallah2Department of Mathematics, College of Science, King Khalid UniversityDepartment of Mathematics, Faculty of Sciences, Al-Azhar UniversityDepartment of Mathematics, Faculty of Engineering, Misr International UniversityAbstract This paper is devoted to proving some new fractional inequalities via recent generalized fractional operators. These inequalities are in the Hermite–Hadamard and Minkowski settings. Many previously documented inequalities may clearly be deduced as specific examples from our findings. Moreover, we give some comparative remarks to show the advantage and novelty of the obtained results.https://doi.org/10.1186/s13660-022-02831-yGeneralized fractional operatorsIntegral inequalitiesHermite–Hadamard inequalitiesMinkowski inequalities |
| spellingShingle | Abd-Allah Hyder M. A. Barakat Ashraf Fathallah Enlarged integral inequalities through recent fractional generalized operators Journal of Inequalities and Applications Generalized fractional operators Integral inequalities Hermite–Hadamard inequalities Minkowski inequalities |
| title | Enlarged integral inequalities through recent fractional generalized operators |
| title_full | Enlarged integral inequalities through recent fractional generalized operators |
| title_fullStr | Enlarged integral inequalities through recent fractional generalized operators |
| title_full_unstemmed | Enlarged integral inequalities through recent fractional generalized operators |
| title_short | Enlarged integral inequalities through recent fractional generalized operators |
| title_sort | enlarged integral inequalities through recent fractional generalized operators |
| topic | Generalized fractional operators Integral inequalities Hermite–Hadamard inequalities Minkowski inequalities |
| url | https://doi.org/10.1186/s13660-022-02831-y |
| work_keys_str_mv | AT abdallahhyder enlargedintegralinequalitiesthroughrecentfractionalgeneralizedoperators AT mabarakat enlargedintegralinequalitiesthroughrecentfractionalgeneralizedoperators AT ashraffathallah enlargedintegralinequalitiesthroughrecentfractionalgeneralizedoperators |