15 citations · 135 across the 49 of their papers we have counts for
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Quasiarithmetic-type invariant means on probability space
Beata Deręgowska, Paweł Pasteczka
For a family of integral quasiarithmetic means sattisfying certain measurability-type assumptions we search for an integral mean such that $K\bi…
Invariant property for discontinuous mean-type mappings
Paweł Pasteczka
It is known that if are continuous two-variable means such that for every with , then there exists a unique invariant mean (which…
Limit properties in a family of quasi-arithmetic means
Paweł Pasteczka
It is known that the family of power means tends to maximum pointwise if we pass argument to infinity. We will give some necessary and sufficient condition for the family of quasi-…
When is a family of generalized means a scale?
Paweł Pasteczka
For a family {k_t | t \in I} of real C^2 functions defined on U (I, U -- open intervals) and satisfying some mild regularity conditions, we prove that the mapping I \ni t --> k_t^{…