I. Kayumov

activity

20132024

most citedBohr--Rogosinski radius for analytic functions

25 citations · 40 across the 12 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.CV2018

Riesz-Fejér inequalities for harmonic functions

Ilgiz R Kayumov, Saminathan Ponnusamy, Anbareeswaran Sairam Kaliraj

In this article, we prove the Riesz - Fejér inequality for complex-valued harmonic functions in the harmonic Hardy space $h^{p}$ for all $p > 1$ . The result is sharp for $p \in…

math.CV2018★ 1 cited

On a powered Bohr inequality

Ilgiz R Kayumov, Saminathan Ponnusamy

The object of this paper is to study the powered Bohr radius $ρ_{p}$ , $p \in (1, 2)$ , of analytic functions $f (z) = \sum_{k = 0}^{\infty} a_{k} z^{k}$ and such that $∣ f (z) ∣ < 1$ defined on the u…