Gruss-Type Integrals Inequalities Via Generalized Proportional Fractional Operators
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Noor, Muhammad Aslam | |
| dc.contributor.author | Rashid, Saima | |
| dc.date.accessioned | 2022-05-13T11:48:50Z | |
| dc.date.accessioned | 2025-09-18T12:05:12Z | |
| dc.date.available | 2022-05-13T11:48:50Z | |
| dc.date.available | 2025-09-18T12:05:12Z | |
| dc.date.issued | 2020 | |
| dc.description | Noor, Muhammad/0000-0001-6105-2435 | en_US |
| dc.description.abstract | In the article, we deal with the generalized proportional fractional integral, establish several kinds of inequalities such as Gruss-type and certain other inequalities by use of generalized proportional fractional integral. Moreover, several special cases are discussed. Also, we derive certain particular results by utilizing the connection between generalized proportional fractional integral and Riemann-Liouville integral. Furthermore, an illustrative example is presented to support our outcomes. | en_US |
| dc.description.sponsorship | Natural Science Foundation of China [61673169] | en_US |
| dc.description.sponsorship | The authors would like to express their sincere thanks to the anonymous reviewers for their helpful comments and suggestions. This work was supported by the Natural Science Foundation of China (Grant No. 61673169). | en_US |
| dc.identifier.citation | Rashid, Saima; Jarad, Fahd; Noor, Muhammad Aslam (2020). "Grüss-type integrals inequalities via generalized proportional fractional operators", Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 114, No. 2. | en_US |
| dc.identifier.doi | 10.1007/s13398-020-00823-5 | |
| dc.identifier.issn | 1578-7303 | |
| dc.identifier.issn | 1579-1505 | |
| dc.identifier.scopus | 2-s2.0-85080104515 | |
| dc.identifier.uri | https://doi.org/10.1007/s13398-020-00823-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10551 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer-verlag Italia Srl | en_US |
| dc.relation.ispartof | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Generalized Proportional Fractional Operator | en_US |
| dc.subject | Young Inequality | en_US |
| dc.subject | Gruss-Type Integral Inequality | en_US |
| dc.title | Gruss-Type Integrals Inequalities Via Generalized Proportional Fractional Operators | en_US |
| dc.title | Grüss-type integrals inequalities via generalized proportional fractional operators | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Noor, Muhammad/0000-0001-6105-2435 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Rashid, Saima/Aaf-7976-2021 | |
| gdc.author.wosid | Noor, Muhammad/Aaf-1238-2019 | |
| gdc.author.wosid | Noor, Muhammad/D-8167-2013 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Rashid, Saima] GC Univ, Dept Math, Faisalabad 38000, Pakistan; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Noor, Muhammad Aslam] COMSATS Univ Islamabad, Dept Math, Islamabad 45550, Pakistan | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 114 | en_US |
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| gdc.oaire.keywords | generalized proportional fractional operator | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Young inequality | |
| gdc.oaire.keywords | Inequalities involving derivatives and differential and integral operators | |
| gdc.oaire.keywords | Grüss-type integral inequality | |
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