A conjecture of Schoenberg.
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de Bruin, M.G., Ivanov, K.G., Sharma, A. (1999)
Journal of Inequalities and Applications [electronic only]
Boros, George, Moll, Victor H. (1999)
The Electronic Journal of Combinatorics [electronic only]
G. Letac, Q. I. Rahman (1986)
Annales de l'I.H.P. Probabilités et statistiques
Niculescu, Constantin P. (2000)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Mercer, A.McD. (1991)
International Journal of Mathematics and Mathematical Sciences
Ilić, Snežana, Petković, Miodrag S., Herceg, Djordje (1996)
Novi Sad Journal of Mathematics
Fuad Kittaneh (2003)
Studia Mathematica
It is shown that if A is a bounded linear operator on a complex Hilbert space, then , where w(A) and ||A|| are the numerical radius and the usual operator norm of A, respectively. An application of this inequality is given to obtain a new estimate for the numerical radius of the Frobenius companion matrix. Bounds for the zeros of polynomials are also given.
Aaron Melman (2011)
Matematički Vesnik
Rudolf Výborný (2010)
Mathematica Bohemica
In the paper an elementary and simple proof of the Fundamental Theorem of Algebra is given.
Andreas Frommer (1989)
Numerische Mathematik
Jan Šípek, Jan Zítko (2001)
Pokroky matematiky, fyziky a astronomie
Nikos E. Mastorakis (1996)
Kybernetika
A.G. Akritas (1980/1981)
Numerische Mathematik
Frank Uhlig (1992)
Numerische Mathematik
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