A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications
In this paper, we present a new refinement of the integral Jensen inequality by utilizing certain functions and give its applications to various means. We utilize the refinement to obtain some new refinements of the Hermite-Hadamard and Hölder’s inequalities as well. Also, we present its application...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/8396644 |
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| _version_ | 1832555188615905280 |
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| author | Zaid Mohammed Mohammed Mahdi Sayed Muhammad Adil Khan Shahid Khan Josip Pečarić |
| author_facet | Zaid Mohammed Mohammed Mahdi Sayed Muhammad Adil Khan Shahid Khan Josip Pečarić |
| author_sort | Zaid Mohammed Mohammed Mahdi Sayed |
| collection | DOAJ |
| description | In this paper, we present a new refinement of the integral Jensen inequality by utilizing certain functions and give its applications to various means. We utilize the refinement to obtain some new refinements of the Hermite-Hadamard and Hölder’s inequalities as well. Also, we present its applications in information theory. At the end of this paper, we give a more general form of the proposed refinement of the Jensen inequality, associated to several functions. |
| format | Article |
| id | doaj-art-877dc6edd49f4a0496858cd26a736418 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-877dc6edd49f4a0496858cd26a7364182025-02-03T05:49:23ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8396644A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with ApplicationsZaid Mohammed Mohammed Mahdi Sayed0Muhammad Adil Khan1Shahid Khan2Josip Pečarić3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicalIn this paper, we present a new refinement of the integral Jensen inequality by utilizing certain functions and give its applications to various means. We utilize the refinement to obtain some new refinements of the Hermite-Hadamard and Hölder’s inequalities as well. Also, we present its applications in information theory. At the end of this paper, we give a more general form of the proposed refinement of the Jensen inequality, associated to several functions.http://dx.doi.org/10.1155/2022/8396644 |
| spellingShingle | Zaid Mohammed Mohammed Mahdi Sayed Muhammad Adil Khan Shahid Khan Josip Pečarić A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications Journal of Function Spaces |
| title | A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications |
| title_full | A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications |
| title_fullStr | A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications |
| title_full_unstemmed | A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications |
| title_short | A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications |
| title_sort | refinement of the integral jensen inequality pertaining certain functions with applications |
| url | http://dx.doi.org/10.1155/2022/8396644 |
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