New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with Applications
In this study, a few inequalities of Hermite–Hadamard type are constructed via the conformable fractional operators so that the normal version is recovered in its limit for the conformable fractional parameter. Finally, we present some examples to demonstrate the usefulness of conformable fractional...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/4352357 |
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| _version_ | 1832546923315200000 |
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| author | Thabet Abdeljawad Pshtiwan Othman Mohammed Artion Kashuri |
| author_facet | Thabet Abdeljawad Pshtiwan Othman Mohammed Artion Kashuri |
| author_sort | Thabet Abdeljawad |
| collection | DOAJ |
| description | In this study, a few inequalities of Hermite–Hadamard type are constructed via the conformable fractional operators so that the normal version is recovered in its limit for the conformable fractional parameter. Finally, we present some examples to demonstrate the usefulness of conformable fractional inequalities in the context of special means of the positive numbers. |
| format | Article |
| id | doaj-art-10a97ebf5507445f8b1432263e7e0704 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-10a97ebf5507445f8b1432263e7e07042025-02-03T06:46:32ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/43523574352357New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with ApplicationsThabet Abdeljawad0Pshtiwan Othman Mohammed1Artion Kashuri2Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi ArabiaDepartment of Mathematics, College of Education, University of Sulaimani, Sulaimani, Kurdistan Region, IraqDepartment of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, AlbaniaIn this study, a few inequalities of Hermite–Hadamard type are constructed via the conformable fractional operators so that the normal version is recovered in its limit for the conformable fractional parameter. Finally, we present some examples to demonstrate the usefulness of conformable fractional inequalities in the context of special means of the positive numbers.http://dx.doi.org/10.1155/2020/4352357 |
| spellingShingle | Thabet Abdeljawad Pshtiwan Othman Mohammed Artion Kashuri New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with Applications Journal of Function Spaces |
| title | New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with Applications |
| title_full | New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with Applications |
| title_fullStr | New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with Applications |
| title_full_unstemmed | New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with Applications |
| title_short | New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with Applications |
| title_sort | new modified conformable fractional integral inequalities of hermite hadamard type with applications |
| url | http://dx.doi.org/10.1155/2020/4352357 |
| work_keys_str_mv | AT thabetabdeljawad newmodifiedconformablefractionalintegralinequalitiesofhermitehadamardtypewithapplications AT pshtiwanothmanmohammed newmodifiedconformablefractionalintegralinequalitiesofhermitehadamardtypewithapplications AT artionkashuri newmodifiedconformablefractionalintegralinequalitiesofhermitehadamardtypewithapplications |