Some Integral Inequalities for Generalized Preinvex Functions With Applications
| dc.contributor.author | Sahoo, Soubhagya Kumar | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Kodamasingh, Bibhakar | |
| dc.contributor.author | Tariq, Muhammad | |
| dc.date.accessioned | 2023-01-12T06:49:04Z | |
| dc.date.accessioned | 2025-09-18T14:10:48Z | |
| dc.date.available | 2023-01-12T06:49:04Z | |
| dc.date.available | 2025-09-18T14:10:48Z | |
| dc.date.issued | 2021 | |
| dc.description | Tariq, Muhammad/0000-0001-8372-2532 | en_US |
| dc.description.abstract | The main objective of this work is to explore and characterize the idea of s-type preinvex function and related inequalities. Some interesting algebraic properties and logical examples are given to support the newly introduced idea. In addition, we attain the novel version of Hermite-Hadamard type inequality utilizing the introduced preinvexity. Furthermore, we establish two new identities, and employing these, we present some refinements of Hermite-Hadamard-type inequality. Some special cases of the presented results for di fferent preinvex functions are deduced as well. Finally, as applications, some new inequalities for the arithmetic, geometric and harmonic means are established. Results obtained in this paper can be viewed as a significant improvement of previously known results. The awe-inspiring concepts and formidable tools of this paper may invigorate and revitalize for additional research in this worthy and absorbing field. | en_US |
| dc.identifier.citation | Tariq, Muhammad...et al. (2021). "Some integral inequalities for generalized preinvex functions with applications", AIMS MATHEMATICS, Vol. 6, No. 12, pp. 13907-13930. | en_US |
| dc.identifier.doi | 10.3934/math.2021805 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85115753030 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2021805 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13810 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Preinvex Function | en_US |
| dc.subject | Holder'S Inequality | en_US |
| dc.subject | Holder-Iscan Inequality | en_US |
| dc.subject | Improved Power-Mean Integral Inequality | en_US |
| dc.subject | S-Type Preinvexity | en_US |
| dc.title | Some Integral Inequalities for Generalized Preinvex Functions With Applications | en_US |
| dc.title | Some integral inequalities for generalized preinvex functions with applications | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Tariq, Muhammad/0000-0001-8372-2532 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Kodamasingh, Bibhakar/Ahc-9777-2022 | |
| gdc.author.wosid | Sahoo, Soubhagya/Gpt-3087-2022 | |
| gdc.author.wosid | Tariq, Muhammad/Afb-8576-2022 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Tariq, Muhammad] Mehran Univ Engn & Technol, Dept Basic Sci & Related Studies, Jamshoro, Pakistan; [Sahoo, Soubhagya Kumar; Kodamasingh, Bibhakar] Siksha O Anusandhan Univ, Inst Tech Educ & Res, Dept Math, Bhubaneswar 751030, Odisha, India; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Jarad, Fahd] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.endpage | 13930 | en_US |
| gdc.description.issue | 12 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 13907 | en_US |
| gdc.description.volume | 6 | en_US |
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| gdc.oaire.keywords | hölder-i̇şcan inequality | |
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