Excess Versions of the Minkowski and H\"older Inequalities
Iosif Pinelis
TL;DR
This paper introduces excess versions of Minkowski and H"older inequalities that generalize and enhance the classical inequalities, providing broader applicability and stronger bounds in mathematical analysis.
Contribution
The paper presents novel excess versions of Minkowski and H"older inequalities that extend and improve upon the traditional forms.
Findings
New excess inequalities generalize classical results
Enhanced bounds improve analytical tools
Broader applicability in mathematical analysis
Abstract
Certain excess versions of the Minkowski and H\"older inequalities are given. These new results generalize and improve the Minkowski and H\"older inequalities.
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Taxonomy
TopicsPoint processes and geometric inequalities · Mathematical Approximation and Integration · Geometric Analysis and Curvature Flows