Refinements of Jessen’s functional

• Date: 2016
• Main Authors: Barbir, A., Himmelreich, Kruli´c K., Pečarić, J. E., Барбір, А., Хіммельрайх, Крилік К., Печарик, Й. Е.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1888
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We obtain new refinements of Jessen’s functional defined by means of positive linear functionals. The accumulated results are then applied to weighted generalized and power means. We also obtain new refinements of numerous classical inequalities such as the arithmetic-geometric mean inequality, Youn...