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Mat. Zametki, 2008, Volume 84, Issue 2, Pages 231–237 (Mi mz4144)  

This article is cited in 2 scientific papers (total in 2 papers)

On an Integral Inequality and Its Application to the Proof of the Entropy Inequality

Sh. M. Nasibov

Institute of Applied Mathematics, Baku State University

Abstract: A sharp integral inequality is proved, and it is applied to the proof the entropy inequality.

Keywords: integral inequality, entropy inequality, Euler gamma function, Euler beta function, Hölder–Young inequality, Schrödinger equation

DOI: https://doi.org/10.4213/mzm4144

Full text: PDF file (419 kB)
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English version:
Mathematical Notes, 2008, 84:2, 218–223

Bibliographic databases:

UDC: 517.518
Received: 12.03.2007

Citation: Sh. M. Nasibov, “On an Integral Inequality and Its Application to the Proof of the Entropy Inequality”, Mat. Zametki, 84:2 (2008), 231–237; Math. Notes, 84:2 (2008), 218–223

Citation in format AMSBIB
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\paper On an Integral Inequality and Its Application to the Proof of the Entropy Inequality
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Sh. M. Nasibov, “On a Generalization of the Entropy Inequality”, Math. Notes, 99:2 (2016), 304–307  mathnet  crossref  crossref  mathscinet  isi  elib
    2. Sh. M. Nasibov, “A Sobolev Interpolation Inequality and a Gross–Sobolev Logarithmic Inequality”, Math. Notes, 107:6 (2020), 947–953  mathnet  crossref  crossref  isi  elib
  • Математические заметки Mathematical Notes
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