On strongly <i>m</i>-convex stochastic processes
<p dir="ltr">In this paper, we introduce the concept of strongly m-convex stochastic processes and present some basic properties of these stochastic processes. We derive Hermite-Hadamard type inequalities for stochastic processes whose first derivatives in absolute values are strongl...
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2024
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| _version_ | 1864513540003463168 |
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| author | Jaya Bisht (17906915) |
| author2 | Rohan Mishra (1809322) Abdelouahed Hamdi (14158899) |
| author2_role | author author |
| author_facet | Jaya Bisht (17906915) Rohan Mishra (1809322) Abdelouahed Hamdi (14158899) |
| author_role | author |
| dc.creator.none.fl_str_mv | Jaya Bisht (17906915) Rohan Mishra (1809322) Abdelouahed Hamdi (14158899) |
| dc.date.none.fl_str_mv | 2024-10-30T09:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1007/s00010-024-01128-3 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/On_strongly_i_m_i_-convex_stochastic_processes/30094963 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Applied mathematics Mathematical physics Convex stochastic processes Strongly convex stochastic processes Hermite-Hadamard inequality Hölder’s inequality |
| dc.title.none.fl_str_mv | On strongly <i>m</i>-convex stochastic processes |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">In this paper, we introduce the concept of strongly m-convex stochastic processes and present some basic properties of these stochastic processes. We derive Hermite-Hadamard type inequalities for stochastic processes whose first derivatives in absolute values are strongly m-convex. The results presented in this paper are a generalization and extension of previously known results.</p><h2>Other Information</h2><p dir="ltr">Published in: Aequationes mathematicae<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1007/s00010-024-01128-3" target="_blank">https://dx.doi.org/10.1007/s00010-024-01128-3</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_2ab6996a1cf100c0e2b40be2878c622b |
| identifier_str_mv | 10.1007/s00010-024-01128-3 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/30094963 |
| publishDate | 2024 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | On strongly <i>m</i>-convex stochastic processesJaya Bisht (17906915)Rohan Mishra (1809322)Abdelouahed Hamdi (14158899)Mathematical sciencesApplied mathematicsMathematical physicsConvex stochastic processesStrongly convex stochastic processesHermite-Hadamard inequalityHölder’s inequality<p dir="ltr">In this paper, we introduce the concept of strongly m-convex stochastic processes and present some basic properties of these stochastic processes. We derive Hermite-Hadamard type inequalities for stochastic processes whose first derivatives in absolute values are strongly m-convex. The results presented in this paper are a generalization and extension of previously known results.</p><h2>Other Information</h2><p dir="ltr">Published in: Aequationes mathematicae<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1007/s00010-024-01128-3" target="_blank">https://dx.doi.org/10.1007/s00010-024-01128-3</a></p>2024-10-30T09:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1007/s00010-024-01128-3https://figshare.com/articles/journal_contribution/On_strongly_i_m_i_-convex_stochastic_processes/30094963CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/300949632024-10-30T09:00:00Z |
| spellingShingle | On strongly <i>m</i>-convex stochastic processes Jaya Bisht (17906915) Mathematical sciences Applied mathematics Mathematical physics Convex stochastic processes Strongly convex stochastic processes Hermite-Hadamard inequality Hölder’s inequality |
| status_str | publishedVersion |
| title | On strongly <i>m</i>-convex stochastic processes |
| title_full | On strongly <i>m</i>-convex stochastic processes |
| title_fullStr | On strongly <i>m</i>-convex stochastic processes |
| title_full_unstemmed | On strongly <i>m</i>-convex stochastic processes |
| title_short | On strongly <i>m</i>-convex stochastic processes |
| title_sort | On strongly <i>m</i>-convex stochastic processes |
| topic | Mathematical sciences Applied mathematics Mathematical physics Convex stochastic processes Strongly convex stochastic processes Hermite-Hadamard inequality Hölder’s inequality |