Some new refinements of the Young, H ̈older and Minkowski inequalities
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Abstract
We prove and discuss some new refined Hölder’s inequalities for any p > 1 and also a reversed version for 0 < p < 1. The key is to use the concept of superquadraticity, strong convexity and to first prove the corresponding refinements of the Young and reversed Young inequalities. Refinement of the Minkowski and reversed Minkowski inequalities are also given.
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- europepmc
- last seen: 2026-05-19T01:45:01.086888+00:00