2019/11/13 by Saminathan Ponnusamy, Ponnusamy, Saminathan, Ramakrishnan Vijayakumar +3 · 1 citation
Mathematics · #30B10 #30C55 #41A58 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Primary: 30A10 #Secondary: 30C45
paper · pdf · doi:10.48550/arxiv.1911.05315
openalex publication_date 2019/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The classical inequality of Bohr asserts that if a power series converges in the unit disk and its sum has modulus less than or equal to 1, then the sum of absolute values of its terms is less than or equal to 1 for the subdisk |z|<1/3 and 1/3 is the best possible constant. Recently, there has been a number of investigations on this topic. In this article, we present a refined version of Bohr's inequality along with few other related improved versions of previously known results.