Some well known inequalities for (h1, h2)-convex stochastic process via interval set inclusion relation
| dc.contributor.author | Afzal, Waqar | |
| dc.contributor.author | Abbas, Mujahid | |
| dc.contributor.author | Eldin, Sayed M. | |
| dc.contributor.author | Khan, Zareen A. | |
| dc.date.accessioned | 2023-09-29T12:00:30Z | |
| dc.date.available | 2023-09-29T12:00:30Z | |
| dc.date.issued | 2023-06-14 | |
| dc.description.abstract | This note introduces the concept of (h1, h2)-convex stochastic processes using intervalvalued functions. First we develop Hermite-Hadmard (H.H) type inequalities, then we check the results for the product of two convex stochastic process mappings, and finally we develop Ostrowski and Jensen type inequalities for (h1, h2)-convex stochastic process. Also, we have shown that this is a more generalized and larger class of convex stochastic processes with some remark. Furthermore, we validate our main findings by providing some non-trivial examples. | en_US |
| dc.description.department | Mathematics and Applied Mathematics | en_US |
| dc.description.uri | http://www.aimspress.com/journal/Math | en_US |
| dc.identifier.citation | Waqar Afzal, Mujahid Abbas, Sayed M. Eldin, Zareen A. Khan. Some well known inequalities for (h1, h2)-convex stochastic process via interval set inclusion relation. AIMS Mathematics, 2023, 8(9): 19913-19932. doi: 10.3934/math.20231015. | en_US |
| dc.identifier.issn | 2473-6988 (online) | |
| dc.identifier.other | 10.3934/math.20231015 | |
| dc.identifier.uri | http://hdl.handle.net/2263/92622 | |
| dc.language.iso | en | en_US |
| dc.publisher | AIMS Press | en_US |
| dc.rights | © 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0). | en_US |
| dc.subject | Hermite-Hadamard inequality | en_US |
| dc.subject | Ostrowski inequality | en_US |
| dc.subject | Jensen inequality | en_US |
| dc.subject | Stochastic process | en_US |
| dc.subject | Interval valued functions | en_US |
| dc.title | Some well known inequalities for (h1, h2)-convex stochastic process via interval set inclusion relation | en_US |
| dc.type | Article | en_US |