Sharp Turán inequalities via very hyperbolic polynomials


Autoria(s): Dimitrov, Dimitar K.; Kostov, Vladimir P.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

27/05/2014

27/05/2014

15/04/2011

Resumo

We present new sharp inequalities for the Maclaurin coefficients of an entire function from the Laguerre-Pólya class. They are obtained by a new technique involving the so-called very hyperbolic polynomials. The results may be considered as extensions of the classical Turán inequalities. © 2010 Elsevier Inc.

Formato

385-392

Identificador

http://dx.doi.org/10.1016/j.jmaa.2010.12.014

Journal of Mathematical Analysis and Applications, v. 376, n. 2, p. 385-392, 2011.

0022-247X

1096-0813

http://hdl.handle.net/11449/72383

10.1016/j.jmaa.2010.12.014

2-s2.0-78650700641

2-s2.0-78650700641.pdf

Idioma(s)

eng

Relação

Journal of Mathematical Analysis and Applications

Direitos

openAccess

Palavras-Chave #Hyperbolic polynomials #Laguerre-Pólya class #Maclaurin coefficients #Turán inequalities #Very hyperbolic polynomials
Tipo

info:eu-repo/semantics/article