J. Morawiec

activity

20082026

most citedInhomogeneous refinement equations with random affine maps

2 citations · 5 across the 17 of their papers we have counts for

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Showing 2015Show all

4 papers · 1 filter

math.CA2015

Integrable solutions of inhomogeneous refinement type equations on intervals

Rafał Kapica, Janusz Morawiec

Given a probability measure $P$ on a $σ$ -algebra of subsets of a set $Ω$ , an interval $I \subset R$ , $g \in L^{1} (I)$ , and a function $φ : I \times Ω \to I$ fulfilling some con…

math.CA2015★ 2 cited

Inhomogeneous refinement equations with random affine maps

Rafał Kapica, Janusz Morawiec

Given a probability space $(Ω, A, P)$ , random variables $L, M : Ω \to R$ and $g \in L^{1} (R)$ we obtain two characterizations of these $f \in L^{1} (R)$ w…

math.CA2015

Reducing the polynomial-like iterative equations order and a generalized Zoltán Boros' problem

Szymon Draga, Janusz Morawiec

We present a technique for reducing the order of polynomial-like iterative equations; in particular, we answer a question asked by Wenmeng Zhang and Weinian Zhang. Our method invol…

math.CA2015

On a Zoltán Boros' problem connected with polynomial-like iterative equations

Szymon Draga, Janusz Morawiec

We determine all continuous solutions $g : I \to I$ of the polynomial-like iterative equation $g^{3} (x) = 3 g (x) - 2 x$ , where $I \subset R$ is an interval. In particular, we obta…