A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions
We provide in this note a different refinement of Jensen’s inequality obtained via superquadratic functions. A refinement of Minkowski’s and Hölder’s inequalities is also established as an application of our refined Jensen’s inequality.
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2024/8925522 |
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| author | Anton Asare-Tuah Edward Prempeh |
| author_facet | Anton Asare-Tuah Edward Prempeh |
| author_sort | Anton Asare-Tuah |
| collection | DOAJ |
| description | We provide in this note a different refinement of Jensen’s inequality obtained via superquadratic functions. A refinement of Minkowski’s and Hölder’s inequalities is also established as an application of our refined Jensen’s inequality. |
| format | Article |
| id | doaj-art-d432de425e554b90bcf5b5aa2dbc7986 |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d432de425e554b90bcf5b5aa2dbc79862025-02-03T06:51:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252024-01-01202410.1155/2024/8925522A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic FunctionsAnton Asare-Tuah0Edward Prempeh1Department of MathematicsSchool of Physical SciencesWe provide in this note a different refinement of Jensen’s inequality obtained via superquadratic functions. A refinement of Minkowski’s and Hölder’s inequalities is also established as an application of our refined Jensen’s inequality.http://dx.doi.org/10.1155/2024/8925522 |
| spellingShingle | Anton Asare-Tuah Edward Prempeh A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions International Journal of Mathematics and Mathematical Sciences |
| title | A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions |
| title_full | A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions |
| title_fullStr | A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions |
| title_full_unstemmed | A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions |
| title_short | A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions |
| title_sort | refinement of jensen s and minkowski s inequalities via superquadratic functions |
| url | http://dx.doi.org/10.1155/2024/8925522 |
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