Refinements of Jessen’s Functional

Refinements of Jessen’s Functional

We obtain new refinements of Jessen’s functional defined by means of positive linear functionals. The accumulated results are 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...

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Veröffentlicht in:Ukrainian mathematical journal 2016-12, Vol.68 (7), p.1000-1020
Hauptverfasser: Barbir, A., Himmelreich, K. Krulić, Pečarić, J.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Functionals
Geometry
Inequalities
Inequality
Mathematics
Mathematics and Statistics
Statistics
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Beschreibung
Zusammenfassung:We obtain new refinements of Jessen’s functional defined by means of positive linear functionals. The accumulated results are 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 Hölder’s inequality.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-016-1273-7