Some new integral inequalities for higher-order strongly exponentially convex functions
<div><p>Integral inequalities with generalized convexity play an important role in both applied and theoretical mathematics. The theory of integral inequalities is currently one of the most rapidly developing areas of mathematics due to its wide range of applications. In this paper, we s...
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| مؤلفون آخرون: | , , |
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2023
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إضافة وسم
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| _version_ | 1864513526536601600 |
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| author | Jaya Bisht (17906915) |
| author2 | Nidhi Sharma (509997) Shashi Kant Mishra (14153355) Abdelouahed Hamdi (14158899) |
| author2_role | author author author |
| author_facet | Jaya Bisht (17906915) Nidhi Sharma (509997) Shashi Kant Mishra (14153355) Abdelouahed Hamdi (14158899) |
| author_role | author |
| dc.creator.none.fl_str_mv | Jaya Bisht (17906915) Nidhi Sharma (509997) Shashi Kant Mishra (14153355) Abdelouahed Hamdi (14158899) |
| dc.date.none.fl_str_mv | 2023-03-23T03:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1186/s13660-023-02952-y |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Some_new_integral_inequalities_for_higher-order_strongly_exponentially_convex_functions/25257205 |
| 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 Numerical and computational mathematics Convex functions Exponentially convex functions Hermite–Hadamard inequalities Riemann–Liouville fractional integrals |
| dc.title.none.fl_str_mv | Some new integral inequalities for higher-order strongly exponentially convex functions |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <div><p>Integral inequalities with generalized convexity play an important role in both applied and theoretical mathematics. The theory of integral inequalities is currently one of the most rapidly developing areas of mathematics due to its wide range of applications. In this paper, we study the concept of higher-order strongly exponentially convex functions and establish a new Hermite–Hadamard inequality for the class of strongly exponentially convex functions of higher order. Further, we derive some new integral inequalities for Riemann–Liouville fractional integrals via higher-order strongly exponentially convex functions. These findings include several well-known results and newly obtained results as special cases. We believe that the results presented in this paper are novel and will be beneficial in encouraging future research in this field.</p><p> </p></div><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="https://dx.doi.org/10.1186/s13660-023-02952-y" target="_blank">https://dx.doi.org/10.1186/s13660-023-02952-y</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_e59cc7936423ad420e6f97ae379a2148 |
| identifier_str_mv | 10.1186/s13660-023-02952-y |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/25257205 |
| publishDate | 2023 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Some new integral inequalities for higher-order strongly exponentially convex functionsJaya Bisht (17906915)Nidhi Sharma (509997)Shashi Kant Mishra (14153355)Abdelouahed Hamdi (14158899)Mathematical sciencesApplied mathematicsNumerical and computational mathematicsConvex functionsExponentially convex functionsHermite–Hadamard inequalitiesRiemann–Liouville fractional integrals<div><p>Integral inequalities with generalized convexity play an important role in both applied and theoretical mathematics. The theory of integral inequalities is currently one of the most rapidly developing areas of mathematics due to its wide range of applications. In this paper, we study the concept of higher-order strongly exponentially convex functions and establish a new Hermite–Hadamard inequality for the class of strongly exponentially convex functions of higher order. Further, we derive some new integral inequalities for Riemann–Liouville fractional integrals via higher-order strongly exponentially convex functions. These findings include several well-known results and newly obtained results as special cases. We believe that the results presented in this paper are novel and will be beneficial in encouraging future research in this field.</p><p> </p></div><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="https://dx.doi.org/10.1186/s13660-023-02952-y" target="_blank">https://dx.doi.org/10.1186/s13660-023-02952-y</a></p>2023-03-23T03:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1186/s13660-023-02952-yhttps://figshare.com/articles/journal_contribution/Some_new_integral_inequalities_for_higher-order_strongly_exponentially_convex_functions/25257205CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/252572052023-03-23T03:00:00Z |
| spellingShingle | Some new integral inequalities for higher-order strongly exponentially convex functions Jaya Bisht (17906915) Mathematical sciences Applied mathematics Numerical and computational mathematics Convex functions Exponentially convex functions Hermite–Hadamard inequalities Riemann–Liouville fractional integrals |
| status_str | publishedVersion |
| title | Some new integral inequalities for higher-order strongly exponentially convex functions |
| title_full | Some new integral inequalities for higher-order strongly exponentially convex functions |
| title_fullStr | Some new integral inequalities for higher-order strongly exponentially convex functions |
| title_full_unstemmed | Some new integral inequalities for higher-order strongly exponentially convex functions |
| title_short | Some new integral inequalities for higher-order strongly exponentially convex functions |
| title_sort | Some new integral inequalities for higher-order strongly exponentially convex functions |
| topic | Mathematical sciences Applied mathematics Numerical and computational mathematics Convex functions Exponentially convex functions Hermite–Hadamard inequalities Riemann–Liouville fractional integrals |