Properties and special cases of f-inequality.

<p></p><p></p><p></p><p>Proof of Theorem 1 (Properties of and <i>I</i><sub><i>f</i>,<i>p</i></sub>(<b>S</b>)).</p><p></p><p></p><p>Proof of Lemma 3 (Minkowski addition to <i>f</i>-inequality addition).</p><p></p><p></p><p>Proof of Theorem 2 (Pietra index and Generalized Entropy index are special cases of f -inequality).</p><p></p><p></p><p></p> <p>Proof of Theorem 1 (Properties of and <i>I</i><sub><i>f</i>,<i>p</i></sub>(<b>S</b>)).</p> <p>Proof of Lemma 3 (Minkowski addition to <i>f</i>-inequality addition).</p> <p>Proof of Theorem 2 (Pietra index and Generalized Entropy index are special cases of f -inequality).</p> <p>(PDF)</p>

Publication Details

Journal
Figshare
Published
2024-11-20
DOI
https://doi.org/10.1371/journal.pone.0313281.s002
Primary Topic
Mathematical Inequalities and Applications
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article
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Properties and special cases of f-inequality.

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Mathematical Inequalities and Applications
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Properties and special cases of f-inequality.

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Abstract

<p></p><p></p><p></p><p>Proof of Theorem 1 (Properties of and <i>I</i><sub><i>f</i>,<i>p</i></sub>(<b>S</b>)).</p><p></p><p></p><p>Proof of Lemma 3 (Minkowski addition to <i>f</i>-inequality addition).</p><p></p><p></p><p>Proof of Theorem 2 (Pietra index and Generalized Entropy index are special cases of f -inequality).</p><p></p><p></p><p></p> <p>Proof of Theorem 1 (Properties of and <i>I</i><sub><i>f</i>,<i>p</i></sub>(<b>S</b>)).</p> <p>Proof of Lemma 3 (Minkowski addition to <i>f</i>-inequality addition).</p> <p>Proof of Theorem 2 (Pietra index and Generalized Entropy index are special cases of f -inequality).</p> <p>(PDF)</p>

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Mathematical Inequalities and Applications
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