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Matematicheskie Zametki, 2008, Volume 84, Issue 2, Pages 231–237
DOI: https://doi.org/10.4213/mzm4144 (Mi mzm4144) 		 
This article is cited in 4 scientific papers (total in 4 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
Full-text PDF (419 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm4144
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.
Received: 12.03.2007
English version:
Mathematical Notes, 2008, Volume 84, Issue 2, Pages 218–223
DOI: https://doi.org/10.1134/S0001434608070225
Bibliographic databases:
UDC: 517.518
Language: Russian
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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    • This publication is cited in the following 4 articles:
    1. Sh. M. Nasibov, “A Sobolev Interpolation Inequality and a Gross–Sobolev Logarithmic Inequality”, Math. Notes, 107:6 (2020), 977–983  mathnet  crossref  crossref  mathscinet  isi  elib
    2. Nasibov Sh.M., Veling E.J.M., “Upper and Lower Bounds For the Optimal Constant in the Extended Sobolev Inequality. Derivation and Numerical Results”, J. Math. Inequal., 13:3 (2019), 753–778  crossref  mathscinet  isi
    3. Nasibov Sh.M., “A Generalization of the Logarithmic Gross-Sobolev Inequality”, Dokl. Math., 100:1 (2019), 329–331  crossref  mathscinet  isi
    4. Sh. M. Nasibov, “On a Generalization of the Entropy Inequality”, Math. Notes, 99:2 (2016), 304–307  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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