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math.FA2026
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…
math.FA2026
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…