2011/03/27 by Inder J. Taneja, Inder Jeet Taneja, Taneja, Inder Jeet
Computer Science · Decision Sciences · Mathematics · Physics and Astronomy · #Advanced Statistical Methods and Models #FOS: Computer and information sciences #Information Theory (cs.IT) #Mathematical Inequalities and Applications #Multi-Criteria Decision Making #Statistical Mechanics and Entropy #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.1103.5219
arxiv created 2011/03/27 · openalex publication_date 2011/03/27 · arxiv updated 2011/03/29 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
In this paper we shall consider some famous means such as arithmetic, harmonic, geometric, root square mean, etc. Considering the difference of these means, we can establish. some inequalities among them. Interestingly, the difference of mean considered is convex functions. Applying some properties, upper bounds on the probability of error are established in this paper. It is also shown that the results obtained are sharper than obtained directly applying known inequalities.