2 citations · 2 across the 3 of their papers we have counts for
6 papers
Note on Improved Bohr Inequality for harmonic mappings
Saminathan Ponnusamy, Ramakrishnan Vijayakumar
In this paper, we give a new generalization of the Bohr inequality in refined form both for bounded analytic functions, and for sense-preserving harmonic functions with analytic pa…
Note on Weighted Bohr's Inequality
Ramakrishnan Vijayakumar
In this paper, first we give a new generalization of the Bohr's inequality for the class of bounded analytic functions and for the class of sense-preserving -quas…
Modifications of Bohr's inequality in various settings
Saminathan Ponnusamy, Ramakrishnan Vijayakumar, Karl-Joachim Wirths
The concept of Bohr radius for the class of bounded analytic functions was introduced by Harald Bohr in 1914. His initial result received greater interest and was sharpened-refined…
Generalized versions of Lipschitz conditions on the modulus of holomorphic functions
Saminathan Ponnusamy, Ramakrishnan Vijayakumar
In this paper, we establish Lipschitz conditions for the norm of holomorphic mappings between the unit ball in and a complex normed space. This e…
Refinement of the Classical Bohr Inequality
Saminathan Ponnusamy, Ramakrishnan Vijayakumar, Karl-Joachim Wirths
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 , then the sum of absolute values of its…
Improved Bohr's phenomenon in quasi-subordination classes
Saminathan Ponnusamy, Ramakrishnan Vijayakumar, Karl-Joachim Wirths
Recently the present authors established refined versions of Bohr's inequality in the case of bounded analytic functions. In this article, we state and prove a generalization of th…