5 papers
Classical polynomial inequalities for quadratic forms on an octagonal sector
Manwook Han, Sun Kwang Kim, Juan B. Seoane--Sepúlveda
We establish a collection of sharp inequalities for real quadratic forms on the first-quadrant sector of a regular octagon. Starting from the complete extreme-point description of…
The unit ball of quadratic forms on an octagonal sector
Manwook Han, Sun Kwang Kim, Gustavo A. Muñoz-Fernández +1
Let \[\mathfrak O=\{(x,y)\in[0,1]^2:x+y\le \sqrt2\} \] be the first-quadrant sector of a regular octagon. For quadratic forms \(P(x,y)=ax^2+bxy+cy^2\), we study the supremum norm o…
Geometry of quadratic forms over a uniparametric family of squares
J. Llorente, G. A. Muñoz-Fernández, D. L. Rodríguez-Vidanes +2
We characterize the extreme points of the parametric space of quadratic forms on endowed with the sup norm on the squares with $…
Algebraic structures featuring graph dimensions, Hölder regularity, and fractional differentiability
Céline Esser, Saeid Maghsoudi, Daniel L. Rodríguez-Vidanes +1
We investigate the algebraic genericity of various families of continuous functions exhibiting extreme irregularity, focusing on fractal dimensions, Hölder regularity, and fraction…
Bounded sequences having an even number of accumulation points
Audrey Fovelle, Juan B. Seoane-Sepúlveda
In their papers, Leonetti, Russo, Somaglia, Menet and Papathanasiou posed the question of whether there exists an infinite dimensional vector space of sequences in ha…