Improved version of Bohr's inequality
By Ilgiz R. Kayumov, Saminathan Ponnusamy. 2018
131 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/c9529a5b8302597d9f92a5755926bf5857697e8b
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In Applied Mathematics
- Saminathan Ponnusamy
- A. Ismagilov
- Zhihong Liu
- Ilgiz R. Kayumov
- V. Allu
- H. Halder
- Karl-Joachim Wirths
- S. A. Alkhaleefah
In Mathematical Physics
- Saminathan Ponnusamy
- A. Ismagilov
- Zhihong Liu
- Ilgiz R. Kayumov
- Karl-Joachim Wirths
- S. A. Alkhaleefah
- V. Allu
- H. Halder
In Statistics and Probability
- Saminathan Ponnusamy
- A. Ismagilov
- Zhihong Liu
- Ilgiz R. Kayumov
- S. A. Alkhaleefah
- Karl-Joachim Wirths
- Gang Liu
- V. Allu
Citations in the corpus
- Bohr phenomenon for certain subclasses of harmonic mappings (2020, background): “In 2020, Kayumov and Ponnusamy [23] obtained the following improved versions of Bohr inequality for analytic functions.”
- Improved Bohr's phenomenon in quasi-subordination classes (2019, background): “We remark that this theorem was proved in [14] without the second term on both sides of the last inequality.”
- Sharp Bohr type inequality (2020, methodology): “For example, the following inequality is obtained in [27] (see also [29]).”
- Refined Bohr inequality for bounded analytic functions (2020, methodology): “S.Ponnusamy, R. Vijayakumar, and K.-J. Wirths, Improved Bohr’s phenomenon in quasisubordination classes, Preprint in: arXiv:1909.00780 30.”
- On the Bohr inequality with a fixed zero coefficient (2019, methodology): “Several improved versions of the classical Bohr’s inequality were given by Kayumov and Ponnusamy in [19] (see also [20]) whereas Evdoridis et al.”
- Multidimensional analogues of refined Bohr’s inequality (2020, background): “In particular, after the appearance of some recent articles [9, 23, 24, 25], several new problems on Bohr’s inequality in the plane case are investigated (cf.”
- Bohr Radius for Subordination and K-quasiconformal Harmonic Mappings (2019, background): “For example, in a related development, Kayumov and Ponnusamy [15] gave several improved versions of Bohr’s inequality.”