Bohr's inequalities associated with the set of all sequences of nonnegative continuous functions

• Date: 2026
• Main Authors: Biswas, Raju, Mandal, Rajib
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9269
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We establish several sharp versions of Bohr's inequalities for the class of $K$-quasiconformal sense-preserving harmonic mappings on the unit disk $\mathbb{D} := \{z \in \mathbb{C}\colon |z| < 1\}$ by using a sequence $\{\Psi_n(r)\}_{n=0}^\infty$ of nonnegative continuo...