Several Jensen–Grüss Inequalities with Applications in Information Theory
Several integral Jensen–Grüss inequalities are proved together with their refinements. Some new bounds are obtained for the integral Jensen–Chebyshev inequality. The multidimensional integral versions are also presented. In addition, some integral Jensen–Grüss inequalities for monotone and completel...
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| Veröffentlicht in: | Ukrainian mathematical journal 2023-05, Vol.74 (12), p.1888-1908 |
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| container_end_page | 1908 |
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| container_issue | 12 |
| container_start_page | 1888 |
| container_title | Ukrainian mathematical journal |
| container_volume | 74 |
| creator | Butt, S. I. Pečarić, Ð. Pečarić, J. |
| description | Several integral Jensen–Grüss inequalities are proved together with their refinements. Some new bounds are obtained for the integral Jensen–Chebyshev inequality. The multidimensional integral versions are also presented. In addition, some integral Jensen–Grüss inequalities for monotone and completely monotone functions are established. Finally, as an application, we present the refinements for Shannon’s entropy. |
| doi_str_mv | 10.1007/s11253-023-02176-9 |
| format | Article |
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| subjects | Algebra Analysis Applications of Mathematics Chebyshev approximation Entropy (Information theory) Geometry Inequalities Information theory Mathematics Mathematics and Statistics Monotone functions Statistics |
| title | Several Jensen–Grüss Inequalities with Applications in Information Theory |
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