Improvements of Jensen-type inequalities for diamond-\(\alpha\) integrals (Q1727830)
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scientific article; zbMATH DE number 7027199
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Improvements of Jensen-type inequalities for diamond-\(\alpha\) integrals |
scientific article; zbMATH DE number 7027199 |
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Improvements of Jensen-type inequalities for diamond-\(\alpha\) integrals (English)
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21 February 2019
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Summary: We give further improvements of the Jensen inequality and its converse on time scales, allowing also negative weights. These results generalize the Jensen inequality and its converse for both discrete and continuous cases. Further, we investigate the exponential and logarithmic convexity of the differences between the left-hand side and the right-hand side of these inequalities and present several families of functions for which these results can be applied.
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