Penn State University student presentations
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Invariant Means Alan Horwitz Penn State University 25
Let m(a, b) and M(a, b, c) be symmetric means. We say that M is type 1 invariant with respect to m if M(m(a, c),m(a, b),m(b, c)) ≡ M(a, b, c). If m is strict and isotone, then we show that there exists a unique M which is type 1 invariant with respect to m. In particular we discuss the invariant logarithmic mean L3, which is type 1 invariant with respect to L(a, b) = b−a log b−log a . We say th...
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ژورنال
عنوان ژورنال: Septentrio Conference Series
سال: 2015
ISSN: 2387-3086
DOI: 10.7557/5.3590