Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals
<p>In this paper, we introduce $(h_{1},h_{2})$ ( h 1 , h 2 ) -preinvex interval-valued function and establish the Hermite–Hadamard inequality for preinvex interval-valued functions by using interval-valued Riemann–Liouville fractional integrals. We obtain Hermite–Hadamard-type inequalities for...
محفوظ في:
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| مؤلفون آخرون: | , , |
| منشور في: |
2022
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إضافة وسم
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| _version_ | 1864513566563893248 |
|---|---|
| author | Nidhi Sharma (509997) |
| author2 | Sanjeev Kumar Singh (7157657) Shashi Kant Mishra (14153355) Abdelouahed Hamdi (14158899) |
| author2_role | author author author |
| author_facet | Nidhi Sharma (509997) Sanjeev Kumar Singh (7157657) Shashi Kant Mishra (14153355) Abdelouahed Hamdi (14158899) |
| author_role | author |
| dc.creator.none.fl_str_mv | Nidhi Sharma (509997) Sanjeev Kumar Singh (7157657) Shashi Kant Mishra (14153355) Abdelouahed Hamdi (14158899) |
| dc.date.none.fl_str_mv | 2022-11-22T21:18:22Z |
| dc.identifier.none.fl_str_mv | 10.1186/s13660-021-02623-w |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Hermite_Hadamard-type_inequalities_for_interval-valued_preinvex_functions_via_Riemann_Liouville_fractional_integrals/21598494 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Applied mathematics Pure mathematics Applied Mathematics Discrete Mathematics and Combinatorics Analysis |
| dc.title.none.fl_str_mv | Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p>In this paper, we introduce $(h_{1},h_{2})$ ( h 1 , h 2 ) -preinvex interval-valued function and establish the Hermite–Hadamard inequality for preinvex interval-valued functions by using interval-valued Riemann–Liouville fractional integrals. We obtain Hermite–Hadamard-type inequalities for the product of two interval-valued functions. Further, some examples are given to confirm our theoretical results.</p><h2>Other Information</h2> <p> Published in: Journal of Inequalities and Applications<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="http://dx.doi.org/10.1186/s13660-021-02623-w" target="_blank">http://dx.doi.org/10.1186/s13660-021-02623-w</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_2263bc52dd69bddff6ec62e7f0b1a3e4 |
| identifier_str_mv | 10.1186/s13660-021-02623-w |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/21598494 |
| publishDate | 2022 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integralsNidhi Sharma (509997)Sanjeev Kumar Singh (7157657)Shashi Kant Mishra (14153355)Abdelouahed Hamdi (14158899)Applied mathematicsPure mathematicsApplied MathematicsDiscrete Mathematics and CombinatoricsAnalysis<p>In this paper, we introduce $(h_{1},h_{2})$ ( h 1 , h 2 ) -preinvex interval-valued function and establish the Hermite–Hadamard inequality for preinvex interval-valued functions by using interval-valued Riemann–Liouville fractional integrals. We obtain Hermite–Hadamard-type inequalities for the product of two interval-valued functions. Further, some examples are given to confirm our theoretical results.</p><h2>Other Information</h2> <p> Published in: Journal of Inequalities and Applications<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="http://dx.doi.org/10.1186/s13660-021-02623-w" target="_blank">http://dx.doi.org/10.1186/s13660-021-02623-w</a></p>2022-11-22T21:18:22ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1186/s13660-021-02623-whttps://figshare.com/articles/journal_contribution/Hermite_Hadamard-type_inequalities_for_interval-valued_preinvex_functions_via_Riemann_Liouville_fractional_integrals/21598494CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/215984942022-11-22T21:18:22Z |
| spellingShingle | Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals Nidhi Sharma (509997) Applied mathematics Pure mathematics Applied Mathematics Discrete Mathematics and Combinatorics Analysis |
| status_str | publishedVersion |
| title | Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals |
| title_full | Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals |
| title_fullStr | Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals |
| title_full_unstemmed | Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals |
| title_short | Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals |
| title_sort | Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals |
| topic | Applied mathematics Pure mathematics Applied Mathematics Discrete Mathematics and Combinatorics Analysis |