| Autor: |
Faiza Rubab, Hira Nabi, Asif R. Khan |
| Rok vydání: |
2021 |
| Předmět: |
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| Zdroj: |
Journal of Mathematical Analysis. 12:1-27 |
| ISSN: |
2217-3412 |
| Popis: |
We give generalizations and refinements of Jensen and Jensen− Mercer inequalities by using weights which satisfy the conditions of Jensen and Jensen− Steffensen inequalities. We also give some refinements for discrete and integral version of generalized Jensen−Mercer inequality and shown to be an improvement of the upper bound for the Jensen’s difference given in [32]. Applications of our work include new bounds for some important inequalities used in information theory, and generalizing the relations among means. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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