A Characterization of Weighted Arithmetic Means

1980 ◽  
Vol 1 (3) ◽  
pp. 259-260 ◽  
Author(s):  
J. Aczél ◽  
C. Wagner
Keyword(s):  
Arithmetic Means ◽  
Weighted Arithmetic

Multivariable interpolation by weighted arithmetic means at arbitrary points

CALCOLO ◽  
1992 ◽  
Vol 29 (3-4) ◽  
pp. 301-311 ◽  
Author(s):  
G. Allasia ◽  
R. Besenghi ◽  
V. Demichelis
Keyword(s):  
Arithmetic Means ◽  
Weighted Arithmetic ◽  
Multivariable Interpolation

scholarly journals Maps Preserving Norms of Generalized Weighted Quasi-arithmetic Means of Invertible Positive Operators

2019 ◽  
Vol 35 ◽  
pp. 357-364
Author(s):  
Gergő Nagy ◽  
Patricia Szokol
Keyword(s):  
General Setting ◽  
Interesting Property ◽  
Positive Operators ◽  
Arithmetic Means ◽  
Mild Conditions ◽  
Weighted Arithmetic ◽  
The Common ◽  
Adjoint Operators

In this paper, the problem of describing the structure of transformations leaving norms of generalized weighted quasi-arithmetic means of invertible positive operators invariant is discussed. In a former result of the authors, this problem was solved for weighted quasi-arithmetic means, and here the corresponding result is generalized by establishing its solution under certain mild conditions. It is proved that in a quite general setting, generalized weighted quasi-arithmetic means on self-adjoint operators are not monotone in their variables which is an interesting property. Moreover, the relation of these means with the Kubo-Ando means is investigated and it is shown that the common members of the classes of these types of means are weighted arithmetic means.

scholarly journals Characterization of Induced Sugarcane Somaclones and their Sources Varieties Using Random Amplified Polymorphic DNA

2016 ◽  
Vol 25 (2) ◽  
pp. 223-229 ◽  
Author(s):  
Kuasha Mahmud ◽  
KM Nasiruddin ◽  
MA Hossain ◽  
L Hassan
Keyword(s):  
Rapd Markers ◽  
Random Amplified Polymorphic Dna ◽  
Group Method ◽  
Arithmetic Means ◽  
Sugarcane Varieties ◽  
Main Cluster ◽  
Pair Group ◽  
The Relationship ◽  
Linkage Distance

Sugarcane somaclones and their sources varieties were analyzed by RAPD molecular markers to check the variation at molecular level based on 1.4% agarose gel electrophoresis (AGE). Six RAPD primers generated 237 bands with average 39.5 varied from 15 to 63 with size ranging 145 - 1000 bp among the four sugarcane varieties and their 12 somaclones. Genetic diversity or polymorphism information content (PIC) value ranged from 0.39 to 0.50 for all loci across the 4 varieties and their 12 somaclones based on RAPD markers. Dendrogram based on linkage distance using unweighted pair group method of arithmetic means (UPGMA) based on 6 RAPD primers indicated segregation of the 4 sugarcane varieties and their somaclones into two main clusters at linkage distance 36. Variety Isd 39 was observed in main cluster C1 while its (Isd 39) somaclones and other varieties (Isd 37, Isd 38 and Isd 40) and also their somaclones were found in main cluster C2 having different sub-clusters. Theirfore, it may be concluded that RAPD markers can be used for identification of somaclonal variation and the relationship between sources varieties and their somaclones.Plant Tissue Cult. & Biotech. 25(2): 223-229, 2015 (December)

Weighted arithmetic means possessing 0 the interpolation property

CALCOLO ◽  
1988 ◽  
Vol 25 (3) ◽  
pp. 203-217 ◽  
Author(s):  
G. Allasia ◽  
R. Besenghi ◽  
V. Demichelis
Keyword(s):  
Interpolation Property ◽  
Arithmetic Means ◽  
Weighted Arithmetic
Sign in / Sign up

Export Citation Format

Share Document