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SM ISO690:2012 CHANSANGIAM, Pattrawut. Weighted means and weighted mean equations in lineated symmetric spaces. In: Quasigroups and Related Systems, 2018, vol. 26, nr. 2(40), pp. 197-210. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
Volumul 26, Numărul 2(40) / 2018 / ISSN 1561-2848 | ||||||
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CZU: 512.535.4+514.1+517.54 | ||||||
Pag. 197-210 | ||||||
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Rezumat | ||||||
We develop further theory of weighted means in a lineated symmetric space. First, we illustrate fundamental examples of that space involving some classical additive/multiplicative groups of matrices and C-algebra elements. Then we investigate properties of weighted means in which weights are arbitrary real numbers. Moreover, we investigate several (systems of) weighted mean equations in lineated symmetric spaces. In fact, every mean problem considered here is shown to has a unique solution in an explicit form. |
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