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

• 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
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.