D. Dimitrov

activity

20162020

collaborators

Showing math.CAShow all

3 papers · 1 filter

math.CA2020

Hardy's inequalities in finite dimensional Hilbert spaces

Dimitar K. Dimitrov, Ivan Gadjev, Geno Nikolov +1

We study the behaviour of the smallest possible constants $d_{n}$ and $c_{n}$ in Hardy's inequalities $$ \sum_{k=1}^{n}\Big(\frac{1}{k}\sum_{j=1}^{k}a_j\Big)^2\leq d_n\,\sum_{k=1}^{n}a…

math.CA2020

A discrete weighted Markov--Bernstein inequality for polynomials and sequences

Dimitar K. Dimitrov, Geno P. Nikolov

For parameters $c \in (0, 1)$ and $β > 0$ , let $ℓ_{2} (c, β)$ be the Hilbert space of real functions defined on $N$ (i.e., real sequences), for which $$ \| f \|_…

math.CA2018

Electrostatic problems with a rational constraint and degenerate Lame equations

Dimitar K. Dimitrov, Boris Shapiro

In this note we extend the classical relation between the equilibrium configurations of unit movable point charges in a plane electrostatic field created by these charges together…