On Smoothness of the Scaling Functions Constructed by Supplementing and Smoothing

Dmitriy A. Ivanin; Anatoliy A. Ligun

doi:10.1615/JAutomatInfScien.v35.i10.20

Journal of Automation and Information Sciences

Editor en Jefe: Arkadiy A. Chikriy (open in a new tab)

Editor Asociados: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Publicado 12 números por año

ISSN Imprimir: 1064-2315

ISSN En Línea: 2163-9337

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On Smoothness of the Scaling Functions Constructed by Supplementing and Smoothing

Volumen 35, Edición 10, 2003, 9 pages

DOI: 10.1615/JAutomatInfScien.v35.i10.20

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Dmitriy A. Ivanin
Dneprodzerzhinsk State Technical University, Ukraine

Anatoliy A. Ligun
Dneprodzerzhinsk State Technical University, Ukraine

SINOPSIS

The scaling property of the basis function has been proved for the data supplement method in which along with the recovery in the interim knots there occurs data smoothing in the initial knots. It has also been stated that this function lies in L²_∞(R).

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