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Weighted entropies

open access: yesOpen Mathematics, 2010
Ebanks Bruce
doaj   +1 more source
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On a Functional Equation Related to the Determinant of Symmetric Two-By-Two Matrices

Sarajevo Journal of Mathematics
The present work aims to find the solutions $f,g,h, \ell , m : \mathbb{R}^2 \to \mathbb{R}$ of the functional equation $f( ux - vy , \, uy - vx ) = g(x, y ) + h(u, v) + \ell (x , y ) \, m(u , v)$ for all $x, y, u, v \in \mathbb{R}$ without any regularity
Kelly B. Houston, P. K. Sahoo
semanticscholar   +1 more source

On Weighted Extensions of Bajraktarević Means

Sarajevo Journal of Mathematics
For real functions $f,g,\alpha,\beta$ defined in an interval $I$ we introduce a mean $B_{\alpha,\beta}^{[f,g]}.$ which extends the Bajraktarevi\'{c} mean $B^{[f,g]}$ in $I$.
Janusz Matkowski
semanticscholar   +1 more source

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