1 citations · 1 across the 7 of their papers we have counts for
7 papers
The Reciprocal Schur Inequality
Albrecht Boettcher, Stephan Ramon Garcia, Mishko Mitkovski
Schur's inequality states that the sum of three special terms is always nonnegative. This note is a short review of inequalities for the sum of the reciprocals of these terms and o…
Weighted Means of B-Splines, Positivity of Divided Differences, and Complete Homogeneous Symmetric Polynomials
Albrecht Boettcher, Stephan Ramon Garcia, Mohamed Omar +1
We employ the fact certain divided differences can be written as weighted means of B-splines and hence are positive. These divided differences include the complete homogeneous symm…
Robert Sheckley\s Answerer for two orthogonal projections
Albrecht Boettcher, Ilya Spitkovsky
This paper is the written version of our talk (presented by the second author) at the IWOTA in Chemnitz in August 2017. The meta theorem of the paper is that Halmos' two projection…
Lattices and quadratic forms from tight frames in Euclidean spaces
Albrecht Boettcher, Lenny Fukshansky
This paper supplies additions to our paper in Linear Algebra Appl. 510 (2016) 395--420 on integral spans of tight frames in Euclidean spaces. In that previous paper, we considered…
Toeplitz determinants with perturbations in the corners
Albrecht Boettcher, Lenny Fukshansky, Stephan Ramon Garcia +1
The paper is devoted to exact and asymptotic formulas for the determinants of Toeplitz matrices with perturbations by blocks of fixed size in the four corners. If the norms of the…
On the Eigenvalues of Certain Canonical Higher-Order Ordinary Differential Operators
Albrecht Boettcher, Harold Widom
We consider the operator of taking the th derivative of a function with zero boundary conditions for the function and its first derivatives at two distinct points. Our ma…