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SHARP POWER MEAN BOUNDS FOR THE SECOND NEUMAN MEAN.
- Source :
-
Miskolc Mathematical Notes . 2017, Vol. 18 Issue 2, p801-809. 9p. - Publication Year :
- 2017
-
Abstract
- In this paper, we prove that the double inequality Mα(a,b) < NGQ(a,b) <Mβ (a,b) holds for all a,b > 0 with a ≠ b if and only if α ≤ 2log2/(5log2-2logπ) = 1:1785... and β ≥ 4/3,where NGQ(a,b) = [G(a,b)CQ2(a,b)=U(a,b)]/2 is the second Neuman mean, G(a,b) = √ab, Q(a,b) = √(a2+b2)/2 and U(a,b) = (a-b)/[√2tan-1((a - b)/ √2ab)] are the geometric, quadratic and Yang mean of a and b, respectively( [ABSTRACT FROM AUTHOR]
- Subjects :
- *MATHEMATICAL equivalence
*SET theory
*CLUSTER set theory
*FUZZY sets
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 18
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 129980262
- Full Text :
- https://doi.org/10.18514/MMN.2017.2159