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August 22, 2025Mathematical Sciences and Applications E-NotesOpen Access

A Theoretical Extension of the Hardy-Hilbert Integral Inequality to Three Dimensions with Five Parameters

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Authors

CCChristophe Chesneau

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Overview

Theoretical extension explores the hardy-hilbert integral inequality with novel parameters, highlighting new conditions.

Key Points

  • The study reveals the exact conditions under which the hardy-hilbert integral inequality holds for five parameters.
  • It shows how two power parameters influence the denominator's structure in this three-dimensional variant.
  • Theoretical analysis includes the expression of the constant factor using beta functions and derives additional results.
  • This work highlights an original extension of a classical topic in analysis, expanding dimensionality and parametric complexity.

Cite This Study

Christophe Chesneau (2025) studied this question.

synapsesocial.com/papers/68af540fad7bf08b1eadb350https://doi.org/10.36753/mathenot.1702817
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