On affinity of Peano type functions
Tomasz Słonka (2012)
Colloquium Mathematicae
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We show that if n is a positive integer and , then for every positive integer m and for every real constant c > 0 there are functions such that and for every x ∈ ℝⁿ there exists a strictly increasing sequence (i₁,...,iₙ) of numbers from 1,...,n+m and a w ∈ ℤⁿ such that for .