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pro vyhledávání: '"Ahammed, Sabir"'
Autor:
Ahammed, Sabir, Ahamed, Molla Basir
In this paper, we first establish an improved Bohr inequality for the class of operator-valued holomorphic functions $f$ on a simply connected domain $\Omega$ in $\mathbb{C}$. Next, we establish a generalization of refined version of the Bohr inequal
Externí odkaz:
http://arxiv.org/abs/2411.04000
In this paper, we first establish refined versions of the Bohr inequalities for the class of holomorphic functions from the unit ball $B_X$ of a complex Banach space $X$ into $\mathbb{C}$. As applications, we will establish refined Bohr inequalities
Externí odkaz:
http://arxiv.org/abs/2409.16610
In this paper, we first obtain a refined Bohr radius for invariant families of bounded analytic functions on unit disk $ \mathbb{D} $. Then, we obtain Bohr inequality for certain integral transforms, namely Fourier (discrete) and Laplace (discrete) t
Externí odkaz:
http://arxiv.org/abs/2405.04040
In this article, we first establish a generalized Bohr inequality and examine its sharpness for a class of analytic functions $f$ in a simply connected domain $\Omega_\gamma,$ where $0\leq \gamma<1$ with a sequence $\{\varphi_n(r) \}^{\infty}_{n=0}$
Externí odkaz:
http://arxiv.org/abs/2405.01895
Autor:
Ahamed, Molla Basir, Ahammed, Sabir
In this paper, a significant improvement has been achieved in the classical Bohr's inequality for the class $ \mathcal{B} $ of analytic self maps defined on the unit disk $ \mathbb{D} $. More precisely, we generalize and improve several Bohr-type ine
Externí odkaz:
http://arxiv.org/abs/2312.15945
Autor:
Ahammed, Sabir, Ahamed, Molla Basir
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 analogue of Bohr inequality and Bohr-Rogosinski inequalities involving Sc
Externí odkaz:
http://arxiv.org/abs/2312.05635
Autor:
Ahammed, Sabir, Ahamed, Molla Basir
In this article, we first establish operator-valued analogues of multidimensional refined Bohr inequality. Then we establish operator-valued analogues of multidimensional improved Bohr inequality with a certain power of the norm of the initial coeffi
Externí odkaz:
http://arxiv.org/abs/2308.13757
Autor:
Ahammed, Sabir, Ahamed, Molla Basir
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 $\mathbb{C}^n$ under some restricted conditions. Next, we determine the refined version of the Bohr
Externí odkaz:
http://arxiv.org/abs/2303.08855
Autor:
Ahammed, Sabir, Ahamed, Molla Basir
Publikováno v:
Complex Variables & Elliptic Equations; Oct2024, Vol. 69 Issue 10, p1700-1722, 23p
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