72 citations · 345 across the 28 of their papers we have counts for
7 papers · 1 filter
Inequalities for the exponential remainder of the Taylor series
S. M. Sitnik
This is a preprint of 1992 with some updates. We study sections of the exponential function Taylor series. Interesting inequalities for these sections were considered by G.Hardy, K…
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.…
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…
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…
The Damascus Inequality
Fozi M. Dannan, S. M. Sitnik
In 2016 Prof. Fozi M. Dannan from Damascus, Syria proposed an inequality for three positive numbers with unit product. It became widely known but was not proved yet in spite of ele…
On an equality for the iterated weighted spherical mean and its applications
E. L. Shishkina, S. M. Sitnik
Spherical means are well-known useful tool in the theory of partial differential equations with applications to solving hyperbolic and ultrahyperbolic equations and problems of int…