Multidimensional analogues of refined Bohr’s inequality
Mingsheng Liu, Saminathan Ponnusamy
Abstract
In this paper, we first establish a version of multidimensional analogues of the refined Bohr’s inequality. Then we establish two versions of multidimensional analogues of improved Bohr’s inequality with initial coefficient being zero. Finally we establish two versions of multidimensional analogues of improved Bohr’s inequality with the initial coefficient being replaced by absolute value of the function, and to prove that most of the results are sharp.
Topics & Concepts
Bohr modelInequalityMathematicsZero (linguistics)Function (biology)Value (mathematics)Pure mathematicsMathematical analysisStatisticsPhysicsQuantum mechanicsPhilosophyBiologyLinguisticsEvolutionary biologyAdvanced Banach Space TheoryMathematical Inequalities and ApplicationsFunctional Equations Stability Results