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Просмотр по автору "Kayumov I.R."

Просмотр по автору "Kayumov I.R."

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  • Bohr Inequalities in Some Classes of Analytic Functions 
    Ismagilov A.A.; Kayumova A.V.; Kayumov I.R.; Ponnusamy S. (2021)
    The paper is a review of the latest results of I. R. Kayumov and S. Ponnusamy on the Bohr inequality. An exact estimate in the strong Bohr inequality is obtained and the Bohr–Rogosinski radius for a certain class of ...
  • Bohr–Rogosinski Inequalities for Bounded Analytic Functions 
    Alkhaleefah S.A.; Kayumov I.R.; Ponnusamy S. (2020)
    © 2020, Pleiades Publishing, Ltd. Abstract: In this paper we first consider another version of the Rogosinski inequality for analytic functions (Formula presented.) in the unit disk (Formula presented.), in which we replace ...
  • Bohr–Rogosinski phenomenon for analytic functions and Cesáro operators 
    Kayumov I.R.; Khammatova D.M.; Ponnusamy S. (2021)
    There are a number of articles which deal with Bohr's phenomenon whereas only a few papers appeared in the literature on Rogosinski's radii for analytic functions defined on the unit disk |z|<1. In this article, we introduce ...
  • Inequalities of Carlson Type for α -Bloch Functions 
    Kayumov I.R.; Wirths K.J. (2020)
    © 2020, Springer Nature Switzerland AG. In this article, we prove inequalities for the Taylor coefficients of functions G holomorphic in the unit disc satisfying the condition | G(z) | (1 - | z| 2) α≤ 1 , | z| < 1 , for ...
  • On Landau’s Type Estimates for Coefficients of Univalent Functions 
    Kayumov I.R.; Khammatova D.M.; Wirths K.J. (2020)
    © 2020, Springer-Verlag GmbH Germany, part of Springer Nature. In this article we estimate the sum of coefficients for functions with restrictions on the pre-Schwarzian derivative. We obtain an estimate, which is sharp up ...
  • On the Bohr inequality for the Cesáro operator 
    Kayumov I.R.; Khammatova D.M.; Ponnusamy S. (2020)
    © Académie des sciences, Paris and the authors, 2020. Some rights reserved. We investigate an analog of Bohr's results for the Cesáro operator acting on the space of holomorphic functions defined on the unit disk. The ...
  • Sharp Bohr type inequality 
    Ismagilov A.; Kayumov I.R.; Ponnusamy S. (2020)
    © 2020 Elsevier Inc. 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 the Bohr inequality ...

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