Newton-type Inequalities for Fractional Integrals by Various Function Classes
The authors of the paper examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely, we establish some Newton-type inequalities for bounded functions by fractional integrals. In addition, we construct some fractional Newton-type inequali...
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| Format: | Article |
| Language: | English |
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Emrah Evren KARA
2025-06-01
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| Series: | Universal Journal of Mathematics and Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/4703159 |
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| author | Hüseyin Budak Tingsong Du Fatih Hezenci |
| author_facet | Hüseyin Budak Tingsong Du Fatih Hezenci |
| author_sort | Hüseyin Budak |
| collection | DOAJ |
| description | The authors of the paper examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely, we establish some Newton-type inequalities for bounded functions by fractional integrals. In addition, we construct some fractional Newton-type inequalities for Lipschitzian functions. Furthermore, we offer some Newton-type inequalities by fractional integrals of bounded variation. Finally, we provide our results by using special cases of theorems and obtained examples. |
| format | Article |
| id | doaj-art-eaf3e0001fb2408f96c0a16ef2c2f9ff |
| institution | Kabale University |
| issn | 2619-9653 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Universal Journal of Mathematics and Applications |
| spelling | doaj-art-eaf3e0001fb2408f96c0a16ef2c2f9ff2025-08-20T03:50:06ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532025-06-01829410710.32323/ujma.16606421225Newton-type Inequalities for Fractional Integrals by Various Function ClassesHüseyin Budak0https://orcid.org/0000-0001-8843-955XTingsong Du1https://orcid.org/0000-0002-6072-1788Fatih Hezenci2https://orcid.org/0000-0003-1008-5856KOCAELI UNIVERSITYChina Tree Gorges UniversityDUZCE UNIVERSITYThe authors of the paper examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely, we establish some Newton-type inequalities for bounded functions by fractional integrals. In addition, we construct some fractional Newton-type inequalities for Lipschitzian functions. Furthermore, we offer some Newton-type inequalities by fractional integrals of bounded variation. Finally, we provide our results by using special cases of theorems and obtained examples.https://dergipark.org.tr/en/download/article-file/4703159bounded functionsconvex functionslipschitzian functionsnewton-type inequalities |
| spellingShingle | Hüseyin Budak Tingsong Du Fatih Hezenci Newton-type Inequalities for Fractional Integrals by Various Function Classes Universal Journal of Mathematics and Applications bounded functions convex functions lipschitzian functions newton-type inequalities |
| title | Newton-type Inequalities for Fractional Integrals by Various Function Classes |
| title_full | Newton-type Inequalities for Fractional Integrals by Various Function Classes |
| title_fullStr | Newton-type Inequalities for Fractional Integrals by Various Function Classes |
| title_full_unstemmed | Newton-type Inequalities for Fractional Integrals by Various Function Classes |
| title_short | Newton-type Inequalities for Fractional Integrals by Various Function Classes |
| title_sort | newton type inequalities for fractional integrals by various function classes |
| topic | bounded functions convex functions lipschitzian functions newton-type inequalities |
| url | https://dergipark.org.tr/en/download/article-file/4703159 |
| work_keys_str_mv | AT huseyinbudak newtontypeinequalitiesforfractionalintegralsbyvariousfunctionclasses AT tingsongdu newtontypeinequalitiesforfractionalintegralsbyvariousfunctionclasses AT fatihhezenci newtontypeinequalitiesforfractionalintegralsbyvariousfunctionclasses |