On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications
This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were directed by Riemann–Liouville fractional inte...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/7/3/215 |
| _version_ | 1797611677737287680 |
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| author | Soubhagya Kumar Sahoo Artion Kashuri Munirah Aljuaid Soumyarani Mishra Manuel De La Sen |
| author_facet | Soubhagya Kumar Sahoo Artion Kashuri Munirah Aljuaid Soumyarani Mishra Manuel De La Sen |
| author_sort | Soubhagya Kumar Sahoo |
| collection | DOAJ |
| description | This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were directed by Riemann–Liouville fractional integral operators. Furthermore, using special means, q-digamma functions and modified Bessel functions, some applications of the acquired results were obtained. |
| first_indexed | 2024-03-11T06:31:09Z |
| format | Article |
| id | doaj.art-86111e1c056a4a1fb806701cbf6791e9 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-11T06:31:09Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-86111e1c056a4a1fb806701cbf6791e92023-11-17T11:11:56ZengMDPI AGFractal and Fractional2504-31102023-02-017321510.3390/fractalfract7030215On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and ApplicationsSoubhagya Kumar Sahoo0Artion Kashuri1Munirah Aljuaid2Soumyarani Mishra3Manuel De La Sen4Department of Mathematics, C.V. Raman Global University, Bhubaneswar 752054, IndiaDepartment of Mathematics, Faculty of Technical and Natural Sciences, University Ismail Qemali, 9400 Vlora, AlbaniaDepartment of Mathematics, College of Science, Northern Border University, Arar 73213, Saudi ArabiaDepartment of Mathematics, Institute of Technical Education and Research, Siksha ‘O’ Anusandhan University, Bhubaneswar 751030, IndiaInstitute of Research and Development of Processes, Department of Electricity and Electronics, Faculty of Science and Technology, University of Basque Country, 48940 Leioa, SpainThis research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were directed by Riemann–Liouville fractional integral operators. Furthermore, using special means, q-digamma functions and modified Bessel functions, some applications of the acquired results were obtained.https://www.mdpi.com/2504-3110/7/3/215convex functionOstrowski’s inequalityMercer inequalityRiemann–Liouville fractional integral operatorsspecial means<i>q</i>-digamma functions |
| spellingShingle | Soubhagya Kumar Sahoo Artion Kashuri Munirah Aljuaid Soumyarani Mishra Manuel De La Sen On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications Fractal and Fractional convex function Ostrowski’s inequality Mercer inequality Riemann–Liouville fractional integral operators special means <i>q</i>-digamma functions |
| title | On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications |
| title_full | On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications |
| title_fullStr | On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications |
| title_full_unstemmed | On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications |
| title_short | On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications |
| title_sort | on ostrowski mercer s type fractional inequalities for convex functions and applications |
| topic | convex function Ostrowski’s inequality Mercer inequality Riemann–Liouville fractional integral operators special means <i>q</i>-digamma functions |
| url | https://www.mdpi.com/2504-3110/7/3/215 |
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