Displaying similar documents to “Canonical conjugations at fixed points other than the Denjoy-Wolff point.”

Approximation properties of q-Baskakov operators

Zoltán Finta, Vijay Gupta (2010)

Open Mathematics

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We establish direct estimates for the q-Baskakov operator introduced by Aral and Gupta in [2], using the second order Ditzian-Totik modulus of smoothness. Furthermore, we define and study the limit q-Baskakov operator.

Constructions of smooth and analytic cocycles over irrational circle rotations

Dalibor Volný (1995)

Commentationes Mathematicae Universitatis Carolinae

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We define a class of step cocycles (which are coboundaries) for irrational rotations of the unit circle and give conditions for their approximation by smooth and real analytic coboundaries. The transfer functions of the approximating (smooth and real analytic) coboundaries are close (in the supremum norm) to the transfer functions of the original ones. This result makes it possible to construct smooth and real analytic cocycles which are ergodic, ergodic and squashable (see [Aaronson,...