Bernstein's theorem (polynomials)

Known as: Bernstein's theorem

Bernstein's theorem is an inequality relating the maximum modulus of a complex polynomial function on the unit disk with the maximum modulus of its…

Papers overview

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2017

We study an extension of Bernstein's theorem to the setting of quantum groups. For a d-tuple of free, identically distributed…

2015

This paper studies the characterization of the optimal input and the computation of the capacity of additive quadrature Gaussian…

2015

This paper studies the characterization of the optimal input for impulsive ambient noise channels under average power constraint…

2015

This paper addresses the characterization of optimal input distributions for the general additive quadrature Gaussian-mixture (GM…

2015

In this paper we find several new properties of a class of Fox's H functions which we call delta neutral. In particular, we find…

2013

A deep physical analysis of the classical electromagnetic problem of calculating the radiation pattern of a dipole located in a…

1985

1985

1982

. A well-known theorem of Bernstein states that if a polynomial of degree N of a complex variable has its modulus no larger than…

Review

1975

Review

1975

A function is called "regularly monotonic" if it is of class Cw and each derivative is of a fixed sign (which may depend on the…