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On weighted means and their inequalities
- Source :
- Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-15 (2021)
- Publication Year :
- 2020
- Publisher :
- arXiv, 2020.
-
Abstract
- In \cite{PSMA}, Pal et al. introduced some weighted means and gave some related inequalities by using an approach for operator monotone functions. This paper discusses the construction of these weighted means in a simple and nice setting that immediately leads to the inequalities established there. The related operator version is here immediately deduced as well. According to our constructions of the means, we study all cases of the weighted means from three weighted arithmetic/geometric/harmonic means, by the use of the concept such as stable and stabilizable means. Finally, the power symmetric means are studied and new weighted power means are given.<br />Comment: 14 pages
- Subjects :
- Discrete mathematics
Multilinear algebra
Weighted means
Weighted operator means and operator inequalities
lcsh:Mathematics
Applied Mathematics
Harmonic mean
010102 general mathematics
010103 numerical & computational mathematics
lcsh:QA1-939
01 natural sciences
Power (physics)
Functional Analysis (math.FA)
Mathematics - Functional Analysis
Operator (computer programming)
Monotone polygon
Simple (abstract algebra)
FOS: Mathematics
Discrete Mathematics and Combinatorics
0101 mathematics
Weighted arithmetic mean
Analysis
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-15 (2021)
- Accession number :
- edsair.doi.dedup.....f6a81de4669966aacb1096ff498f2304
- Full Text :
- https://doi.org/10.48550/arxiv.2005.11448