Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Kruss I. S. On Accuracy of Estimation of the Number of Steps for the Algorithm for Construction of Scaling Function on Local Fields. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2015, vol. 15, iss. 3, pp. 279-287. DOI: 10.18500/1816-9791-2015-15-3-279-287, EDN: UKIVEV

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
11.09.2015
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Language: 
Russian
Heading: 
Mathematics
UDC: 
517.5
DOI: 
10.18500/1816-9791-2015-15-3-279-287
EDN: 
UKIVEV

On Accuracy of Estimation of the Number of Steps for the Algorithm for Construction of Scaling Function on Local Fields

Autors: 
Kruss Iuliia Sergeevna, Saratov State University
Abstract: 

In this paper we discuss a problem of accuracy of estimation of the number of steps for the algorithm for construction of orthogonal scaling function which generates multiresolution analisys on local fields of positive characteristic. The resulting function is a step function with a compact support. The number of steps in the algorithm is closely related to the support of the Fourier transformation of the scaling function. Thus the estimate for number of steps is not only of computational interest. The upper estimate for this number was already known. In this work the accurate number of steps is found. It appeares to be equal to the previously known upper estimate.

Key words: 
local fields of positive characteristic
scaling function
multiresolution analysis
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Received: 
19.04.2015
Accepted: 
29.08.2015
Published: 
30.09.2015
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