D. Dimitrov

collaborators

3 papers

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.NT2016

Wronskians of Fourier and Laplace Transforms

Dimitar K. Dimitrov, Yuan Xu

Associated with a given suitable function, or a measure, on $R$ , we introduce a correlation function, so that the Wronskian of the Fourier transform of the function is the…