Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions
In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically convex functions are generalized. The results of t...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5589405 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832554011367047168 |
|---|---|
| author | M. Yussouf G. Farid K. A. Khan Chahn Yong Jung |
| author_facet | M. Yussouf G. Farid K. A. Khan Chahn Yong Jung |
| author_sort | M. Yussouf |
| collection | DOAJ |
| description | In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically convex functions are generalized. The results of this paper are connected with various published fractional integral inequalities. |
| format | Article |
| id | doaj-art-51432250a29a433a9df7a826c74a0027 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-51432250a29a433a9df7a826c74a00272025-02-03T05:52:39ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55894055589405Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler FunctionsM. Yussouf0G. Farid1K. A. Khan2Chahn Yong Jung3Department of Mathematics, University of Sargodha, Sargodha, PakistanDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, PakistanDepartment of Mathematics, University of Sargodha, Sargodha, PakistanDepartmentof Business Administration, Gyeongsang National University, Jinju 52828, Republic of KoreaIn this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically convex functions are generalized. The results of this paper are connected with various published fractional integral inequalities.http://dx.doi.org/10.1155/2021/5589405 |
| spellingShingle | M. Yussouf G. Farid K. A. Khan Chahn Yong Jung Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions Journal of Mathematics |
| title | Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions |
| title_full | Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions |
| title_fullStr | Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions |
| title_full_unstemmed | Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions |
| title_short | Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions |
| title_sort | hadamard and fejer hadamard inequalities for further generalized fractional integrals involving mittag leffler functions |
| url | http://dx.doi.org/10.1155/2021/5589405 |
| work_keys_str_mv | AT myussouf hadamardandfejerhadamardinequalitiesforfurthergeneralizedfractionalintegralsinvolvingmittaglefflerfunctions AT gfarid hadamardandfejerhadamardinequalitiesforfurthergeneralizedfractionalintegralsinvolvingmittaglefflerfunctions AT kakhan hadamardandfejerhadamardinequalitiesforfurthergeneralizedfractionalintegralsinvolvingmittaglefflerfunctions AT chahnyongjung hadamardandfejerhadamardinequalitiesforfurthergeneralizedfractionalintegralsinvolvingmittaglefflerfunctions |