CONSTRUCTION OF SLOWLY INCREASING FUNCTIONS

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Abstract

We construct a continuous and bijective function L : (0,∞) → (−∞,∞)which is increasing slower than any nth iterate of logarithmic function. Further, weconstruct a function which is increasing slower than any nth iterate of L. Using ourmethod, we can construct more and more slowly increasing functions.

Journal

  • Scientiae Mathematicae Japonicae

    Scientiae Mathematicae Japonicae 75(2), 187-201, 2012

    International Society for Mathematical Sciences

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