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July 26, 2026Infinite Dimensional Analysis Quantum Probability and Related Topics

Horvath's inequality unifies recent refinements of the Cauchy-Schwarz inequality

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Authors

MMMehrnoush MokhtarpourUniversity of MazandaranHAHamzeh AgahiBabol Noshirvani University of TechnologyAPAhmad PourdarvishUniversity of Mazandaran

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Overview

Unifies various statistical inequalities using Horvath's classical inequality in inner product spaces, suggesting broader applications.

Key Points

  • To demonstrate how Horvath's inequality can unify and derive recent statistical inequalities.
  • Reviewed and analyzed Horvath's classical inequality in relation to recent findings on statistical inequalities.
  • Applied the classical inequality to recent refinements by Scarlatti, Lupu, and Tanase to show unified derivations.
  • Showed that Horvath's inequality can derive the statistical inequalities from Scarlatti and Lupu and Tanase, highlighting its unifying capability.

Cite This Study

Mokhtarpour et al. (2026) studied this question.

synapsesocial.com/papers/6a65a5bad3aea3239cd77843https://doi.org/10.1142/s021902572650013x
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