Density bounds for the problem. II. Krasikov inequalities

Authors:
David Applegate and Jeffrey C. Lagarias

Journal:
Math. Comp. **64** (1995), 427-438

MSC:
Primary 11B83; Secondary 11Y99

MathSciNet review:
1270613

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Abstract: The function takes the values if *x* is odd and *x*/2 if *x* is even. Let *a* be any integer with . If counts the number of *n* with which eventually reach *a* under iteration by *T*, then for all sufficiently large *x*, . The proof is based on solving nonlinear programming problems constructed using difference inequalities of Krasikov.

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DOI:
http://dx.doi.org/10.1090/S0025-5718-1995-1270613-2

Article copyright:
© Copyright 1995
American Mathematical Society