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Solving invariance equations involving homogeneous means with the help of computer

✍ Scribed by Baják, Szabolcs; Páles, Zsolt


Book ID
122891453
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
382 KB
Volume
219
Category
Article
ISSN
0096-3003

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Computer aided solution of the invarianc
✍ Szabolcs Baják; Zsolt Páles 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 444 KB

Our aim is to solve the so-called invariance equation in the class of two-variable Gini means {G p,q : p, q ∈ R}, i.e., to find necessary and sufficient conditions on the 6 parameters a, b, c, d, p, q such that the identity be valid. We recall that, for p = q, the Gini mean G p,q is defined by G p,