Add to ORKGPólya proved that if a real, homogeneous polynomial is positive on the nonnegative orthant (except at the origin), then it is the quotient of two homogeneous polynomials with no negative coefficients. We generalize this from polynomials to signomials with arbitrary rational exponents; we also show that Pólya’s theorem does not generalize to arbitrary signomials (i.e., with irrational (real) exponents)
AbstractUsing a ‘reasonable’ measure in P(2ℓ1n), the space of 2-homogeneous polynomials on ℓ1n, we s...
Let E be a real Banach space. We show that either E admits a positive definite 2-homogeneous polynom...
In this paper we provide a generalization of a Positivstellensatz by Pólya [Pólya in Naturforsch Ges...
Pólya proved that if a real, homogeneous polynomial is positive on the nonnegative orthant (except a...
AbstractPólya proved that if a form (homogeneous polynomial) with real coefficients is positive on t...
Pólya proved that if a form (homogeneous polynomial) with real coefficients is positive on the nonne...
AbstractGiven a real homogeneous polynomial F, strictly positive in the non-negative orthant, Pólya'...
Pólya’s Theorem says that if p is a homogeneous polynomial in n variables which is positive on the s...
Let be the real polynomial ring in variables. Pólya’s Theorem says that if a homogeneous polynomial ...
AbstractLet R[X] be the real polynomial ring in n variables. Pólya’s Theorem says that if a homogene...
AbstractWe consider homogeneous polynomials f∈R[x1,…,xn] which are non-negative on the standard simp...
International audienceGiven rational univariate polynomials f and g such that gcd(f, g) and f / gcd(...
We answer a question posed by Michael Aissen in 1979 about the q-analogue of a classical theorem of ...
AbstractBy the Giambruno–Zaicev theorem (Giambruno and Zaicev, 1999) [5], the exponent exp(A) of a p...
AbstractLet f(x) and g(x) be two real polynomials whose leading coefficients have the same sign. Sup...
AbstractUsing a ‘reasonable’ measure in P(2ℓ1n), the space of 2-homogeneous polynomials on ℓ1n, we s...
Let E be a real Banach space. We show that either E admits a positive definite 2-homogeneous polynom...
In this paper we provide a generalization of a Positivstellensatz by Pólya [Pólya in Naturforsch Ges...
Pólya proved that if a real, homogeneous polynomial is positive on the nonnegative orthant (except a...
AbstractPólya proved that if a form (homogeneous polynomial) with real coefficients is positive on t...
Pólya proved that if a form (homogeneous polynomial) with real coefficients is positive on the nonne...
AbstractGiven a real homogeneous polynomial F, strictly positive in the non-negative orthant, Pólya'...
Pólya’s Theorem says that if p is a homogeneous polynomial in n variables which is positive on the s...
Let be the real polynomial ring in variables. Pólya’s Theorem says that if a homogeneous polynomial ...
AbstractLet R[X] be the real polynomial ring in n variables. Pólya’s Theorem says that if a homogene...
AbstractWe consider homogeneous polynomials f∈R[x1,…,xn] which are non-negative on the standard simp...
International audienceGiven rational univariate polynomials f and g such that gcd(f, g) and f / gcd(...
We answer a question posed by Michael Aissen in 1979 about the q-analogue of a classical theorem of ...
AbstractBy the Giambruno–Zaicev theorem (Giambruno and Zaicev, 1999) [5], the exponent exp(A) of a p...
AbstractLet f(x) and g(x) be two real polynomials whose leading coefficients have the same sign. Sup...
AbstractUsing a ‘reasonable’ measure in P(2ℓ1n), the space of 2-homogeneous polynomials on ℓ1n, we s...
Let E be a real Banach space. We show that either E admits a positive definite 2-homogeneous polynom...
In this paper we provide a generalization of a Positivstellensatz by Pólya [Pólya in Naturforsch Ges...