Inequalities of the Edmundson–Lah–Ribarič Type for n-Convex Functions With Applications
We deduce some Edmundson–Lah–Ribarič-type inequalities for positive linear functionals and n -convex functions. Our main results are applied to the generalized f -divergence functional. Examples with Zipf– Mandelbrot law are presented to illustrate the results.
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| Veröffentlicht in: | Ukrainian mathematical journal 2021-06, Vol.73 (1), p.99-119 |
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| container_title | Ukrainian mathematical journal |
| container_volume | 73 |
| creator | Mikic, R Pecaric, D Pecaric, J |
| description | We deduce some Edmundson–Lah–Ribarič-type inequalities for positive linear functionals and
n
-convex functions. Our main results are applied to the generalized
f
-divergence functional. Examples with Zipf– Mandelbrot law are presented to illustrate the results. |
| doi_str_mv | 10.1007/s11253-021-01911-4 |
| format | Article |
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n
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f
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n
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f
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n
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f
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Algebra Analysis Applications of Mathematics Convex analysis Divergence Functionals Geometry Inequalities Mathematics Mathematics and Statistics Statistics |
| title | Inequalities of the Edmundson–Lah–Ribarič Type for n-Convex Functions With Applications |
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