scholarly journals A note on a certain bivariate mean

2012 ◽  
pp. 637-643 ◽  
Author(s):  
Edward Neuman
Keyword(s):  
Bivariate Mean

Bivariate mean residual life

1989 ◽  
Vol 38 (3) ◽  
pp. 362-364 ◽  
Author(s):  
K.R.M. Nair ◽  
N.U. Nair
Keyword(s):  
Residual Life ◽  
Mean Residual Life ◽  
Bivariate Mean

scholarly journals Necessary and sufficient conditions on the Schur convexity of a bivariate mean

2021 ◽  
Vol 6 (1) ◽  
pp. 296-303
Author(s):  
Hong-Ping Yin ◽  
◽  
Xi-Min Liu ◽  
Jing-Yu Wang ◽  
Bai-Ni Guo ◽  
...  
Keyword(s):  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Necessary And Sufficient ◽  
Bivariate Mean ◽  
Schur Convexity

Tests for bivariate mean residual life

1991 ◽  
Vol 20 (8) ◽  
pp. 2549-2558 ◽  
Author(s):  
Kanwar Sen ◽  
Madhu Bala Jain
Keyword(s):  
Residual Life ◽  
Mean Residual Life ◽  
Bivariate Mean

scholarly journals Complementary means with respect to a nonsymmetric invariant mean

2021 ◽  
Author(s):  
Janusz Matkowski
Keyword(s):  
Large Class ◽  
Functional Equations ◽  
Invariant Mean ◽  
Continuous Solutions ◽  
Type Mapping ◽  
The Mean ◽  
Bivariate Mean

AbstractIt is known that if a bivariate mean K is symmetric, continuous and strictly increasing in each variable, then for every mean M there is a unique mean $$N\,$$ N such that K is invariant with respect to the mean-type mapping $$\left( M,N\right) ,$$ M , N , which means that $$K\circ \left( M,N\right) =K$$ K ∘ M , N = K and N is called a K-complementary mean for M (Matkowski in Aequ Math 57(1):87–107, 1999). This paper extends this result for a large class of nonsymmetric means. As an application, the limits of the sequences of iterates of the related mean-type mappings are determined, which allows us to find all continuous solutions of some functional equations.

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