New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals
In this study, a new Newton-type inequality form for multiplicative convex functions is derived using multiplicative conformable fractional integrals. The developed new form presents an inequality that has not been encountered before in literature. To obtain the main results, an essential identity i...
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| Format: | Article |
| Language: | English |
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Mahmut Akyigit
2025-06-01
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| Series: | Journal of Mathematical Sciences and Modelling |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/4766247 |
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| author | Büşra Betül Ergün Hüseyin Budak |
| author_facet | Büşra Betül Ergün Hüseyin Budak |
| author_sort | Büşra Betül Ergün |
| collection | DOAJ |
| description | In this study, a new Newton-type inequality form for multiplicative convex functions is derived using multiplicative conformable fractional integrals. The developed new form presents an inequality that has not been encountered before in literature. To obtain the main results, an essential identity is first introduced, and this identity is combined with multiplicative conformable fractional integrals to create a new Newton-type inequality. This work not only provides a significant contribution to previous research on multiplicative convex functions but also offers a new perspective on the subject. Future research may aim to explore the application of this form to different fractional integral operators or function types. |
| format | Article |
| id | doaj-art-299346520c4e43598fb2bec0f778845b |
| institution | Kabale University |
| issn | 2636-8692 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Mahmut Akyigit |
| record_format | Article |
| series | Journal of Mathematical Sciences and Modelling |
| spelling | doaj-art-299346520c4e43598fb2bec0f778845b2025-08-20T03:28:10ZengMahmut AkyigitJournal of Mathematical Sciences and Modelling2636-86922025-06-01829311110.33187/jmsm.16745111408New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional IntegralsBüşra Betül Ergün0https://orcid.org/0009-0009-4038-4487Hüseyin Budak1https://orcid.org/0000-0001-8843-955XDUZCE UNIVERSITYKOCAELI UNIVERSITYIn this study, a new Newton-type inequality form for multiplicative convex functions is derived using multiplicative conformable fractional integrals. The developed new form presents an inequality that has not been encountered before in literature. To obtain the main results, an essential identity is first introduced, and this identity is combined with multiplicative conformable fractional integrals to create a new Newton-type inequality. This work not only provides a significant contribution to previous research on multiplicative convex functions but also offers a new perspective on the subject. Future research may aim to explore the application of this form to different fractional integral operators or function types.https://dergipark.org.tr/en/download/article-file/4766247conformable fractional integralsconvex functionsmultiplicative calculusnewton inequality |
| spellingShingle | Büşra Betül Ergün Hüseyin Budak New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals Journal of Mathematical Sciences and Modelling conformable fractional integrals convex functions multiplicative calculus newton inequality |
| title | New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals |
| title_full | New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals |
| title_fullStr | New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals |
| title_full_unstemmed | New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals |
| title_short | New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals |
| title_sort | new form of newton type inequalities for multiplicative conformable fractional integrals |
| topic | conformable fractional integrals convex functions multiplicative calculus newton inequality |
| url | https://dergipark.org.tr/en/download/article-file/4766247 |
| work_keys_str_mv | AT busrabetulergun newformofnewtontypeinequalitiesformultiplicativeconformablefractionalintegrals AT huseyinbudak newformofnewtontypeinequalitiesformultiplicativeconformablefractionalintegrals |