On Local Behavior of Analytic Functions

1999/08/19 by Alexander Brudnyi, Brudnyi, Alexander
Mathematics · #31B05 #46E15 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Mathematical functions and polynomials #math.CV #math.FA #msc:31B05 #msc:46E15

paper · pdf · doi:10.48550/arxiv.math/9908105

arxiv created 1999/08/19 · openalex publication_date 1999/08/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove local inequalities for analytic functions defined on a convex body in \Reⁿ which generalize well-known classical inequalities for polynomials.

Related

• The Distribution of Values of Analytic Functions on Convex Bodies
• Local ABC theorems for analytic functions
• Quantitative tame properties of differentiable functions with controlled derivatives
• Polynomial local functionals on convex functions
• Successive coefficients of convex functions