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Refinements of Jessen’s functional

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...

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Datum:2016
Hauptverfasser: Barbir, A., Himmelreich, Kruli´c K., Pečarić, J. E., Барбір, А., Хіммельрайх, Крилік К., Печарик, Й. Е.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2016
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/1888
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung: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, Young’s inequality, and H¨older’s inequality.

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