Entropic Inequalities and Properties of Some Special Functions

Entropic Inequalities and Properties of Some Special Functions

Using known entropic and information inequalities, we obtain new inequalities for some classical polynomials. We consider examples of Jacobi and Legendre polynomials.

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Veröffentlicht in:Journal of Russian laser research 2014-03, Vol.35 (2), p.200-210
Hauptverfasser: Man’ko, Vladimir I., Markovich, L. A.
Format: Artikel
Sprache:eng
Schlagworte:
Functions (mathematics)
Inequalities
Lasers
Mathematical analysis
Microwaves
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Polynomials
RF and Optical Engineering
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Beschreibung
Zusammenfassung:Using known entropic and information inequalities, we obtain new inequalities for some classical polynomials. We consider examples of Jacobi and Legendre polynomials.
ISSN:1071-2836
1573-8760
DOI:10.1007/s10946-014-9414-7