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

  • R. Mikić Univ. Zagreb, Croatia
  • D. Pečarić Catholic Univ. Croatia, Zagreb, Croatia
  • J. Pečarić RUDN Univ., Moscow, Russia
Ключові слова: Jensen inequality, Edmundson-Lah-Ribarič inequality, n-convex functions, divided differences, f-divergence, Zipf-Mandelbrot law

Анотація

УДК 517.5

Отримано нерiвностi типу Едмундсона – Лаха – Рибарича для додатних лiнiйних функцiоналiв та $n$-опуклих функцiй. Основнi результати застосовуються до узагальнених $f $-дивергентних функцiоналiв. Наведено приклади, в яких
використовується закон Зiпфа – Мандельброта.

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Опубліковано
22.01.2021
Як цитувати
Mikić R., PečarićD., і PečarićJ. «Inequalities of the Edmundson-Lah-Ribarič Type for N-Convex Functions With Applications». Український математичний журнал, вип. 73, вип. 1, Січень 2021, с. 89 - 106, doi:10.37863/umzh.v73i1.721.
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