Abstract
By using superquadracity, the new inequalities in this paper generalize a result of Hardy–Littlewood–Pólya and refine Jensen’s type inequalities. Also, inequalities related to rearrangements of sets are obtained.
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Abramovich, S. New inequalities related to superquadratic functions. Aequat. Math. 96, 201–219 (2022). https://doi.org/10.1007/s00010-021-00812-y
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DOI: https://doi.org/10.1007/s00010-021-00812-y
Keywords
- Convex functions
- Superquadratic functions
- L-superadditive functions
- Rearrangements
- Non-incresing sequences in weighted mean