Inequalities of the Edmundson-Lah-Ribarč type for n-convex functions with applications

UDC 517.5 We derive some Edmundson – Lah – Ribarič type inequalities for positive linear functionals and $n$-convex functions. Main results are applied to the generalized $f$ -divergence functional. Examples with Zipf – Mandelbrot law are used to illustrate the results.

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Datum:2021
Hauptverfasser: Mikić , R., Pečarić, D., Pečarić, J.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2021
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/721
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:UDC 517.5 We derive some Edmundson – Lah – Ribarič type inequalities for positive linear functionals and $n$-convex functions. Main results are applied to the generalized $f$ -divergence functional. Examples with Zipf – Mandelbrot law are used to illustrate the results.
DOI:10.37863/umzh.v73i1.721