Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting
In this work, various fractional convex inequalities of the Hermite–Hadamard type in the interval analysis setting have been established, and new inequalities have been derived thereon. Recently defined <i>p</i> interval-valued convexity is utilized to obtain many new fractional Hermite–...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/19/3491 |
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| author | Vuk Stojiljković Rajagopalan Ramaswamy Ola A. Ashour Abdelnaby Stojan Radenović |
| author_facet | Vuk Stojiljković Rajagopalan Ramaswamy Ola A. Ashour Abdelnaby Stojan Radenović |
| author_sort | Vuk Stojiljković |
| collection | DOAJ |
| description | In this work, various fractional convex inequalities of the Hermite–Hadamard type in the interval analysis setting have been established, and new inequalities have been derived thereon. Recently defined <i>p</i> interval-valued convexity is utilized to obtain many new fractional Hermite–Hadamard type convex inequalities. The derived results have been supplemented with suitable numerical examples. Our results generalize some recently reported results in the literature. |
| first_indexed | 2024-03-09T21:28:42Z |
| format | Article |
| id | doaj.art-8da2cbc30de440dcbad88bb787457f32 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T21:28:42Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-8da2cbc30de440dcbad88bb787457f322023-11-23T21:02:25ZengMDPI AGMathematics2227-73902022-09-011019349110.3390/math10193491Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued SettingVuk Stojiljković0Rajagopalan Ramaswamy1Ola A. Ashour Abdelnaby2Stojan Radenović3Faculty of Science, University of Novi Sad, Trg Dositeja Obradovića 3, 21000 Novi Sad, SerbiaDepartment of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz Univeristy, Al-Kharj 16278, Saudi ArabiaDepartment of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz Univeristy, Al-Kharj 16278, Saudi ArabiaFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, SerbiaIn this work, various fractional convex inequalities of the Hermite–Hadamard type in the interval analysis setting have been established, and new inequalities have been derived thereon. Recently defined <i>p</i> interval-valued convexity is utilized to obtain many new fractional Hermite–Hadamard type convex inequalities. The derived results have been supplemented with suitable numerical examples. Our results generalize some recently reported results in the literature.https://www.mdpi.com/2227-7390/10/19/3491convex interval-valued functionspseudo-order relationsHermite–Hadamard inequalityRiemann–Liouville fractional integral operatorsfuzzy interval-valued analysis |
| spellingShingle | Vuk Stojiljković Rajagopalan Ramaswamy Ola A. Ashour Abdelnaby Stojan Radenović Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting Mathematics convex interval-valued functions pseudo-order relations Hermite–Hadamard inequality Riemann–Liouville fractional integral operators fuzzy interval-valued analysis |
| title | Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting |
| title_full | Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting |
| title_fullStr | Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting |
| title_full_unstemmed | Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting |
| title_short | Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting |
| title_sort | riemann liouville fractional inclusions for convex functions using interval valued setting |
| topic | convex interval-valued functions pseudo-order relations Hermite–Hadamard inequality Riemann–Liouville fractional integral operators fuzzy interval-valued analysis |
| url | https://www.mdpi.com/2227-7390/10/19/3491 |
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