Bohr's inequality revisited

Abstract

We survey several significant results on the Bohr inequality and presented its generalizations in some new approaches. These are some Bohr type inequalities of Hilbert space operators related to the matrix order and the Jensen inequality. An eigenvalue extension of Bohr's inequality is discussed as well.

arXiv comment13 pages, to appear in a Springer volume edited by P. Pardalos, H.M. Srivastava, and P. Georgiev

References in corpus (2)

• An operator extension of Bohr's inequality
• Generalizations of Bohr's inequality in Hilbert $C^{\ast }$-modules