APPROXIMATION OF WAVELET OPERATOR BY ITS HYPERFINITE ANALOGY

Author(s): Zdorovenko Marina Yurievna

Rubric: Methodological research

Release: 2014-1 (4)

Pages: 296-302

Keywords: wavelet operator , tabular approximation, hyperfinite operator

Annotation: The article deals with the problem of approximation of wavelet operator by its hyperfinite analogy. This problem is studied by the method of the non-standard analysis. It is proved that the hyperfinite wavelet operator is a bounded operator, its norm is less ore equal to 1 and this operator approximates the continuous wavelet operator.

Bibliography: Zdorovenko MA.YU. APPROXIMATION OF WAVELET OPERATOR BY ITS HYPERFINITE ANALOGY // Education Resources and Technologies. – 2014. – № 1 (4). – С. 296-302. doi: