4 papers · 1 filter
Bohr-type inequalities for classes of analytic maps and K-quasiconformal harmonic mappings
Molla Basir Ahamed, Sabir Ahammed
In this paper, a significant improvement has been achieved in the classical Bohr's inequality for the class of analytic self maps defined on the unit disk $ \mathbb…
Bohr-Rogosinski inequalities involving Schwarz functions
Sabir Ahammed, Molla Basir Ahamed
In this paper, we study Bohr's inequality and refined versions of Bohr-Rogosinski inequalities involving Schwarz functions. Moreover, we establish a version of multidimensional ana…
Operator-valued analogues of multidimensional Bohr-Rogosinski inequalities
Sabir Ahammed, Molla Basir Ahamed
In this article, we first establish operator-valued analogues of multidimensional refined Bohr inequality. Then we establish operator-valued analogues of multidimensional improved…
Refined Bohr inequality for functions in and in complex Banach spaces
Sabir Ahammed, Molla Basir Ahamed
In this paper, we first obtain a refined version of the Bohr inequality of norm-type for holomorphic mappings with lacunary series on the polydisk in under some rest…