Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator
In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled. With the help of an integral identity which includes the Riemann-Liouville (RL) fractional integral operator, new Hadamard-type ineq...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/4310880 |
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| _version_ | 1850165815450533888 |
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| author | Ahmet Ocak Akdemir Sinan Aslan Mustafa Ali Dokuyucu Ercan Çelik |
| author_facet | Ahmet Ocak Akdemir Sinan Aslan Mustafa Ali Dokuyucu Ercan Çelik |
| author_sort | Ahmet Ocak Akdemir |
| collection | DOAJ |
| description | In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled. With the help of an integral identity which includes the Riemann-Liouville (RL) fractional integral operator, new Hadamard-type inequalities are proved for exponentially convex functions on the coordinates. Many special cases of the results are discussed. |
| format | Article |
| id | doaj-art-e1963db375a54a9e8eda22839c21ca85 |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e1963db375a54a9e8eda22839c21ca852025-08-20T02:21:38ZengWileyJournal of Function Spaces2314-88882023-01-01202310.1155/2023/4310880Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional OperatorAhmet Ocak Akdemir0Sinan Aslan1Mustafa Ali Dokuyucu2Ercan Çelik3Department of MathematicsInstitute of Graduate StudiesDepartment of MathematicsDepartment of Applied Mathematics and InformaticsIn this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled. With the help of an integral identity which includes the Riemann-Liouville (RL) fractional integral operator, new Hadamard-type inequalities are proved for exponentially convex functions on the coordinates. Many special cases of the results are discussed.http://dx.doi.org/10.1155/2023/4310880 |
| spellingShingle | Ahmet Ocak Akdemir Sinan Aslan Mustafa Ali Dokuyucu Ercan Çelik Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator Journal of Function Spaces |
| title | Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator |
| title_full | Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator |
| title_fullStr | Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator |
| title_full_unstemmed | Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator |
| title_short | Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator |
| title_sort | exponentially convex functions on the coordinates and novel estimations via riemann liouville fractional operator |
| url | http://dx.doi.org/10.1155/2023/4310880 |
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