# 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: