One one type of ud-preserving mapping
Milan Pasteka
TL;DR
This paper introduces a class of mappings on the unit interval that preserve uniform distribution and generate Buck uniformly distributed sequences through iteration.
Contribution
It constructs a new class of distribution-preserving mappings with proven properties and distributional behavior.
Findings
Mappings preserve uniform distribution
Iterations form Buck uniformly distributed sequences
Properties of these mappings are established
Abstract
In this paper a class of mappings on unit interval is constructed. These mapping preserve uniform distribution and theirs iterations form a sequence which is Buck uniformly distributed. In the third part some prorties of these mappings are proven.
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Taxonomy
TopicsFunctional Equations Stability Results · Mathematical Dynamics and Fractals · Approximation Theory and Sequence Spaces