25 citations · 28 across the 5 of their papers we have counts for
14 papers · 1 filter
Bernstein-type inequalities for mean -valent functions
Anton Baranov, Ilgiz Kayumov, Rachid Zarouf
We derive new integral estimates of the derivatives of mean -valent functions in the unit disk. Our results develop and complement estimates obtained by E.P. Dolzhenko and A.A.…
Analytic capacities in Besov spaces
Anton Baranov, Michael Hartz, Ilgiz Kayumov +1
We derive new estimates on analytic capacities of finite sequences in the unit disc in Besov spaces with zero smoothness, which sharpen the estimates obtained by N.K.Nikolski in 20…
On Bloch seminorm of finite Blaschke products in the unit disk
Anton D. Baranov, Ilgiz R. Kayumov, Semen R. Nasyrov
We prove that, for any finite Blaschke product in the unit disk, the corresponding Riemann surface over the --plane contains a one-sheeted disk of the radius . Mor…
The Bohr inequality for the generalized C{é}saro averaging operators
Ilgiz R Kayumov, Diana M. Khammatova, Saminathan Ponnusamy
The main aim of this paper is to prove a generalization of the classical Bohr theorem and as an application, we obtain a counterpart of Bohr theorem for the generalized Cesáro oper…
Bohr--Rogosinski inequalities for bounded analytic functions
Seraj A. Alkhaleefah, Ilgiz R. Kayumov, Saminathan Ponnusamy
In this paper we first consider another version of the Rogosinski inequality for analytic functions in the unit disk , in which we replace…
Sharp Bohr type inequality
Amir Ismagilov, Ilgiz R Kayumov, Saminathan Ponnusamy
This article is devoted to the sharp improvement of the classical Bohr inequality for bounded analytic functions defined on the unit disk. We also prove two other sharp versions of…