Zobrazeno 1 - 10
of 285
pro vyhledávání: '"30A10"'
Autor:
Badea, Catalin, Renard, Axel
Publikováno v:
Journal of Mathematical Analysis and Applications, Volume 540, Issue 1,2024, 128578
We use (versions of) the von Neumann inequality for Hilbert space contractions to prove several Schwarz-Pick inequalities. Specifically, we derive an alternate proof for a multi-point Schwarz-Pick inequality by Beardon and Minda, along with a general
Externí odkaz:
http://arxiv.org/abs/2405.01357
Using a variety of matrix techniques, the problem of locating the left eigenvalues of the quaternion companion matrices are investigated in this paper. In a recent paper, Dar et al. [6], proved that the zeros of a quaternionic polynomial and the left
Externí odkaz:
http://arxiv.org/abs/2403.02958
In this paper, we study some improved and refined versions of the classical Bohr inequality applicable to the class $\mathcal{B}$, which consists of self-analytic mappings defined on the unit disk $\mathbb{D}$. First, we improve the Bohr inequality f
Externí odkaz:
http://arxiv.org/abs/2402.15689
Autor:
Brown, Henry J., Grabovsky, Yury
The feasibility of extrapolation of completely monotone functions can be quantified by examining the worst case scenario, whereby a pair of completely monotone functions agree on a given interval to a given relative precision, but differ as much as i
Externí odkaz:
http://arxiv.org/abs/2401.15178
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:
Khasyanov, Ramis
The concept of the Bohr radius of a pair of operators is introduced. In terms of the convolution function, a general formula for calculating the Bohr radius of the Hadamard convolution type operator with a fixed initial coefficient is obtained. We ap
Externí odkaz:
http://arxiv.org/abs/2310.02723
Autor:
Singh, Jitender, Kumar, Sanjeev
In this paper, we obtain several new classes of irreducible polynomials having integer coefficients whose zeros lie inside an open disk around the origin or outside a closed annular region in the complex plane. Such irreducible polynomials are devise
Externí odkaz:
http://arxiv.org/abs/2309.08502
Autor:
Bergman, Alex, Rubin, Olof
We consider weighted Chebyshev polynomials on the unit circle corresponding to a weight of the form $(z-1)^s$ where $s>0$. For integer values of $s$ this corresponds to prescribing a zero of the polynomial on the boundary. As such, we extend findings
Externí odkaz:
http://arxiv.org/abs/2309.02047
Autor:
Ghiloufi, Noureddine, Zaway, Mohamed
Publikováno v:
Ukrainian Mathematical Journal, Vol. 74, No. 8, January, 2023
In this paper we introduce new spaces of holomorphic functions on the pointed unit disc of $\mathbb C$ that generalize classical Bergman spaces. We prove some fundamental properties of these spaces and their dual spaces. We finish the paper by extend
Externí odkaz:
http://arxiv.org/abs/2309.00552