Geodesic
Stronger Version of Denjoy-Type Inequality
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 4 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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Let $f$ be an orientation-preserving circle diffeomorphism with irrational rotation number and $\log f'$ be absolutely continuous, $f''/f'\in L_{p},$ $p>1.$ By using the ratio distortion approach, we prove a sharper result for the key estimate of the Y. Katznelson and D. Ornstein theorem on the absolute continuity of the conjugacy for such circle diffeomorphism $f$.
Classification : 37E10, 37C15, 37C40 
@article{BMMS_2014_37_4_a1,
     author = {A. Dzhalilov and M. S. M. Noorani and H. Akhadkulov},
     title = {Stronger {Version} of {Denjoy-Type} {Inequality}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2014},
     volume = {37},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_4_a1/}
}
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%A M. S. M. Noorani
%A H. Akhadkulov
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%J Bulletin of the Malaysian Mathematical Society
%D 2014
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%F BMMS_2014_37_4_a1
A. Dzhalilov; M. S. M. Noorani; H. Akhadkulov. Stronger Version of Denjoy-Type Inequality. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 4. http://geodesic.mathdoc.fr/item/BMMS_2014_37_4_a1/