Bohr-Rogosinski Inequalities for bounded analytic functions
Authors
Molla Basir Aahmed, Partha Pratim Roy
Categories
Abstract
In this article, we analyze refined and improved versions of the classical Bohr inequality for the function class $\mathcal{B}$, which consists of analytic self- mappings defined on the unit disk $\mathbb{D}$. We improve the Bohr-Rogosinski inequality for the class $\mathcal{B}$ of analytic self-maps by incorporating the area measure of sub-disks $\mathbb{D}_r$ in $\mathbb{D}$.
Bohr-Rogosinski Inequalities for bounded analytic functions
Categories
Abstract
In this article, we analyze refined and improved versions of the classical Bohr inequality for the function class $\mathcal{B}$, which consists of analytic self- mappings defined on the unit disk $\mathbb{D}$. We improve the Bohr-Rogosinski inequality for the class $\mathcal{B}$ of analytic self-maps by incorporating the area measure of sub-disks $\mathbb{D}_r$ in $\mathbb{D}$.
Authors
Molla Basir Aahmed, Partha Pratim Roy
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