25 citations · 28 across the 5 of their papers we have counts for
11 papers
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…
On a conjecture about univalent polynomials
Ilgiz R. Kayumov, Diana M. Khammatova
In this paper we prove a recent conjecture formulated by Dmitrishin, Smorodin and Stokolos about that certain polynomials are univalent in the unit disk. As a consequence we get an…
On the sum of squares of the coefficients of Bloch functions
I. R. Kayumov, K. -J. Wirths
In this article several types of inequalities for weighted sums of the moduli of Taylor coefficients for Bloch functions are proved
On the Bohr inequality with a fixed zero coefficient
Seraj A. Alkhaleefah, Ilgiz R Kayumov, Saminathan Ponnusamy
In this paper, we introduce the study of the Bohr phenomenon for a quasi-subordination family of functions, and establish the classical Bohr's inequality for the class of quasisubo…