Iterative Roots of Non-PM Functions and Denseness

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dc.contributor.authorCho, Y.J.
dc.contributor.authorMurugan, S.K.
dc.contributor.authorMurugan, V.
dc.date.accessioned2020-03-31T08:35:41Z
dc.date.available2020-03-31T08:35:41Z
dc.date.issued2018
dc.description.abstractThe characteristic interval plays a vital role on the existence of iterative roots of PM functions with height less than or equal to one. In this paper, we define the characteristic interval for continuous functions and prove theorems on extension and nonexistence of iterative roots for a class of continuous non-PM functions on a closed and bounded interval I. Also, we prove that a class of continuous non-PM functions, which do not possess any iterative roots, is dense in C(I, I). 2018, Springer International Publishing AG, part of Springer Nature.en_US
dc.identifier.citationResults in Mathematics, 2018, Vol.73, 1, pp.-en_US
dc.identifier.urihttps://idr.nitk.ac.in/jspui/handle/123456789/11825
dc.titleIterative Roots of Non-PM Functions and Densenessen_US
dc.typeArticleen_US

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