Sharp Bohr type inequality

By A. Ismagilov, Ilgiz R. Kayumov, Saminathan Ponnusamy. Journal of Mathematical Analysis and Applications, 2020

69 citations recorded by the source corpus.

This article is devoted to the sharp improvement of the classical Bohr inequality for bounded analytic functions defined on the unit disk. We also prove two other sharp versions of the Bohr inequality by replacing the constant term by the absolute of the function and the square of the absolute of the function, respectively.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5ce7f67ed939eb0a0b88b0748de6ec686051026f

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In Applied Mathematics

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In Geometry and Topology

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In Mathematical Physics

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Citations in the corpus

• Bohr phenomenon for certain subclasses of harmonic mappings (2020, background): “The Bohr radius for various classes of functions, for example, locally univalent harmonic mappings, k-quasiconformal mappings, bounded harmonic functions, lacunary series have been studied extensively in [19, 21, 24].”