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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Bibliographic Details
Published in:Ukrainian mathematical journal 2021-06, Vol.73 (1), p.99-119
Main Authors: Mikic, R, Pecaric, D, Pecaric, J
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Convex analysis
Divergence
Functionals
Geometry
Inequalities
Mathematics
Mathematics and Statistics
Statistics
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Description
Summary: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.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-021-01911-4