2023/01/19 by Constantin P. Niculescu, Suvrit Sra, Niculescu, Constantin P. +1
Computer Science · Mathematics · #26A48 #26A51 #26D15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Mathematical Inequalities and Applications #Optimization and Variational Analysis #Primary 26B25 #Secondary 26B35
paper · pdf · doi:10.48550/arxiv.2301.08342
openalex publication_date 2023/01/19 · openalex created_date 2023/01/24 · openalex updated_date 2026/07/28
We analyze the role played by n-convexity for the fulfillment of a series of linear functional inequalities that extend the Hornich-Hlawka functional inequality, f( x) +f( y) +f( z) +f( x+y+z) ≥ f( x+y) +f( y+z)+f( z+x) +f(0), including extensions to the case of positive operators.