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August 14, 2026SymmetryOpen Access

New Refinements of the Generalized Versions of Hölder’s Inequality

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Authors

LHLászló HorváthUniversity of Pannonia

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Overview

Mathematical analysis demonstrates new refinements of generalized Hölder's inequality across multiple settings, highlighting broader applications in information theory and calculus.

Key Points

  • To establish novel, sharper refinements of generalized Hölder's inequalities and explore their analytical applications.
  • Derived rigorous theoretical refinements of generalized versions of Hölder's inequality.
  • Applied the new theoretical bounds to integral power means, generalized Opial–Olech inequalities, Rényi entropy comparisons using useful information, and the Cauchy–Bunyakovsky–Schwarz inequality.
  • Formulated new generalized inequality refinements that clarify and advance existing specific refinement frameworks.
  • Successfully established improved bounds for integral power means, Opial–Olech-type inequalities, information theory metrics, and Cauchy–Bunyakovsky–Schwarz bounds.

Cite This Study

László Horváth (2026) studied this question.

synapsesocial.com/papers/6a7ec78db70b84ec8b914014https://doi.org/10.3390/sym18081360
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