3 papers
math.CA2016
Gasparyan's Inequality
A. B. Pevnyi, S. M. Sitnik
We consider a new and simpler proof of an inequality of A.S. Gasparyan, which was originally derived in terms of complex algebraical objects --- multidimensional hyperdeterminants.…
math.CA2016
Gini means and its applications in polymer chemistry
A. B. Pevnyi, S. M. Sitnik
We consider Gini means with short biographical information and propose a new proof of the main inequality for these means. Also some applications of Gini and other means are consid…
math.CA2016
Inequalities of M.G. Krein, Yu.V. Linnik and E.A. Gorin for positive definite functions
A. B. Pevnyi, S. M. Sitnik
We investigate inequalities of M.G. Krein, Yu.V. Linnik and E.A. Gorin for positive definite functions. Modifications and generalizations of these inequalities are proved. We also…