New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals
In most fields of applied sciences, inequalities are important in constructing mathematical systems and associated solution functions. Convexity also has a significant impact on an assortment of mathematical topics. By utilizing a comprehensive version of Riemann–Liouville integrals and the function...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/9532488 |
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| author | Abd-Allah Hyder |
| author_facet | Abd-Allah Hyder |
| author_sort | Abd-Allah Hyder |
| collection | DOAJ |
| description | In most fields of applied sciences, inequalities are important in constructing mathematical systems and associated solution functions. Convexity also has a significant impact on an assortment of mathematical topics. By utilizing a comprehensive version of Riemann–Liouville integrals and the functions’ convexity condition, we present and prove novel fractional inequalities. According to the current literature, this work is a novel addition to the literature, and the proposed technique for addressing fractional inequalities issues is straightforward and simple to execute. It is also easy to see that all of the inequalities that have been developed are inclusive and may be reduced to a variety of other inequalities that have been proposed in the literature. Additionally, certain numeric examples with graphs are provided to support the theoretical results. |
| format | Article |
| id | doaj-art-1606373d8a894e54bcc3ce7551d58ffb |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1606373d8a894e54bcc3ce7551d58ffb2025-08-20T03:17:18ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/9532488New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville IntegralsAbd-Allah Hyder0Department of MathematicsIn most fields of applied sciences, inequalities are important in constructing mathematical systems and associated solution functions. Convexity also has a significant impact on an assortment of mathematical topics. By utilizing a comprehensive version of Riemann–Liouville integrals and the functions’ convexity condition, we present and prove novel fractional inequalities. According to the current literature, this work is a novel addition to the literature, and the proposed technique for addressing fractional inequalities issues is straightforward and simple to execute. It is also easy to see that all of the inequalities that have been developed are inclusive and may be reduced to a variety of other inequalities that have been proposed in the literature. Additionally, certain numeric examples with graphs are provided to support the theoretical results.http://dx.doi.org/10.1155/2023/9532488 |
| spellingShingle | Abd-Allah Hyder New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals Journal of Mathematics |
| title | New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals |
| title_full | New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals |
| title_fullStr | New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals |
| title_full_unstemmed | New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals |
| title_short | New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals |
| title_sort | new fractional inequalities through convex functions and comprehensive riemann liouville integrals |
| url | http://dx.doi.org/10.1155/2023/9532488 |
| work_keys_str_mv | AT abdallahhyder newfractionalinequalitiesthroughconvexfunctionsandcomprehensiveriemannliouvilleintegrals |