Iterative roots of piecewise monotonic functions with finite nonmonotonicity height

DOI10.1016/j.jmaa.2013.09.051zbMath1308.26007OpenAlexW2068735905MaRDI QIDQ2019068

Lin Li, Jingmin Chen

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.09.051

zbMATH Keywords

iterative rootnonmonotonicity heightpiecewise monotonic functionfortinterval sequence

Mathematics Subject Classification ID

Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (5)

Iterative roots of PM functions extended from the characteristic interval ⋮ Iterative roots of upper semicontinuous multifunctions ⋮ Iterative roots of non-PM functions and denseness ⋮ A topological classification for piecewise monotone iterative roots ⋮ Unnamed Item

Cites Work

• Non-monotonic iterative roots extended from characteristic intervals
• Iterative roots of piecewise monotonic functions of nonmonotonicity height not less than 2
• A generic property of globally smooth iterative roots
• Computing iterative roots of polygonal functions
• A note on iterative roots of PM functions
• Zur Iteration reeller Funktionen
• On the functional equation $φ^n(x)=g(x)$
• The Set of all Iterates is Nowhere Dense in C([ 0, 1 , [ 0, 1 ])]
• PM functions, their characteristic intervals and iterative roots
• Recent results on functional equations in a single variable, perspectives and open problems
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