2011/11/22 by Inder J. Taneja, Inder Jeet Taneja, Taneja, Inder Jeet
Computer Science · Mathematics · #Applied mathematics #Divergence (linguistics) #Econometrics #Economic inequality #FOS: Computer and information sciences #Functional Equations Stability Results #Geology #Geometric mean #Gini coefficient #Harmonic #Harmonic mean #Heron #Inequality #Information Theory (cs.IT) #Linguistics #Mathematical Inequalities and Applications #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Philosophy #Physics #Statistics #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.1111.5241
arxiv created 2011/11/22 · openalex publication_date 2011/11/22 · arxiv updated 2011/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In 1938, Gini studied a mean having two parameters. Later, many authors studied properties of this mean. It contains as particular cases the famous means such as harmonic, geometric, arithmetic, etc. Also it contains, the power mean of order r and Lehmer mean as particular cases. In this paper we have considered inequalities arising due to Gini-Mean and Heron's mean, and improved them based on the results recently studied by the author (Taneja, 2011).