Geodesic
Refined Bohr inequalities for certain classes of functions: analytic, univalent, and convex
Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 9-25

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DOI

In this article, we prove several refined versions of the classical Bohr inequality for the class of analytic self-mappings on the unit disk $ \mathbb {D} $, class of analytic functions $ f $ defined on $ \mathbb {D} $ such that $\mathrm {Re}\left (f(z)\right )<1 $, and class of subordination to a function g in $ \mathbb {D} $. Consequently, the main results of this article are established as certainly improved versions of several existing results. All the results are proved to be sharp.
DOI : 10.4153/S0008439523000474
Mots-clés : Bounded analytic functions, Bohr inequality, Bohr–Rogosinski inequality, Schwarz–Pick lemma 
Ahammed, Sabir; Ahamed, Molla Basir. Refined Bohr inequalities for certain classes of functions: analytic, univalent, and convex. Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 9-25. doi: 10.4153/S0008439523000474
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     title = {Refined {Bohr} inequalities for certain classes of functions: analytic, univalent, and convex},
     journal = {Canadian mathematical bulletin},
     pages = {9--25},
     year = {2024},
     volume = {67},
     number = {1},
     doi = {10.4153/S0008439523000474},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000474/}
}
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