Add to ORKGWe study the properties of a logconcavity operator on a symmetric, unimodal subset of finite sequences. In doing so we are able to prove that there is a large unbounded region in this subset that is ∞-logconcave. This problem was motivated by the conjecture of Boros and Moll in [1] that the binomial coefficients are ∞-logconcave
AbstractTwo conjectures of Su and Wang (2008) concerning binomial coefficients are proved. For n⩾k⩾0...
AbstractWe establish a combinatorial connection between the sequence (in,k) counting the involutions...
We discuss situations where perturbing a probability measure on R n does not deteriorate its Poincar...
AbstractGiven a sequence (ak)=a0,a1,a2,… of real numbers, define a new sequence L(ak)=(bk) where bk=...
AbstractGiven a sequence (ak)=a0,a1,a2,… of real numbers, define a new sequence L(ak)=(bk) where bk=...
Given a sequence (ak)=a0,a1,a2,… of real numbers, define a new sequence L(ak)=(bk) where . So (ak) i...
Given a sequence (ak) = a0, a1, a2,... of real numbers, define a new se-quence L(ak) = (bk) where ...
AbstractIt is shown how a log concave sequence generates a log super-modular function on the lattice...
We consider nonnegative infinitely divisible random variables whose Levy measures are either absolut...
AbstractThe Aleksandrov-Fenchel inequalities from the theory of mixed volumes are used to prove that...
AbstractLet S be a finite sequence of length r whose terms come from the finite alphabet a. The subs...
AbstractLet S be a finite sequence of length r whose terms come from the finite alphabet a. The subs...
AbstractThe main result of the paper establishes the strong log-concavity of certain sequences arisi...
We show that the sequence of moments of order less than 1 of averages of i.i.d. positive random vari...
Log-concave measures arise naturally in the context of probabilistic optimization, as pointed out by...
AbstractTwo conjectures of Su and Wang (2008) concerning binomial coefficients are proved. For n⩾k⩾0...
AbstractWe establish a combinatorial connection between the sequence (in,k) counting the involutions...
We discuss situations where perturbing a probability measure on R n does not deteriorate its Poincar...
AbstractGiven a sequence (ak)=a0,a1,a2,… of real numbers, define a new sequence L(ak)=(bk) where bk=...
AbstractGiven a sequence (ak)=a0,a1,a2,… of real numbers, define a new sequence L(ak)=(bk) where bk=...
Given a sequence (ak)=a0,a1,a2,… of real numbers, define a new sequence L(ak)=(bk) where . So (ak) i...
Given a sequence (ak) = a0, a1, a2,... of real numbers, define a new se-quence L(ak) = (bk) where ...
AbstractIt is shown how a log concave sequence generates a log super-modular function on the lattice...
We consider nonnegative infinitely divisible random variables whose Levy measures are either absolut...
AbstractThe Aleksandrov-Fenchel inequalities from the theory of mixed volumes are used to prove that...
AbstractLet S be a finite sequence of length r whose terms come from the finite alphabet a. The subs...
AbstractLet S be a finite sequence of length r whose terms come from the finite alphabet a. The subs...
AbstractThe main result of the paper establishes the strong log-concavity of certain sequences arisi...
We show that the sequence of moments of order less than 1 of averages of i.i.d. positive random vari...
Log-concave measures arise naturally in the context of probabilistic optimization, as pointed out by...
AbstractTwo conjectures of Su and Wang (2008) concerning binomial coefficients are proved. For n⩾k⩾0...
AbstractWe establish a combinatorial connection between the sequence (in,k) counting the involutions...
We discuss situations where perturbing a probability measure on R n does not deteriorate its Poincar...