2 papers
math.CA2009
A remark about positive polynomials
Olga M. Katkova, Anna M. Vishnyakova
The following theorem is proved. {\bf Theorem.} {\it Let be a polynomial with positive coefficients. If the inequalities $\frac{a_{2k+1}^2}{a_{2k}a…
math.RA2005
On sufficient conditions for the total positivity and for the multiple positivity of matrices
Olga M. Katkova, Anna M. Vishnyakova
The following theorem is proved: Suppose be a matrix with positive entries and $a_{i,j}a_{i+1,j+1} > 4\cos ^2 \fracπ{k+1} a_{i,j+1}a_{i+1,j} \quad (1 \…