Доступ предоставлен для: Guest
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337

Выпуски:
Том 52, 2020 Том 51, 2019 Том 50, 2018 Том 49, 2017 Том 48, 2016 Том 47, 2015 Том 46, 2014 Том 45, 2013 Том 44, 2012 Том 43, 2011 Том 42, 2010 Том 41, 2009 Том 40, 2008 Том 39, 2007 Том 38, 2006 Том 37, 2005 Том 36, 2004 Том 35, 2003 Том 34, 2002 Том 33, 2001 Том 32, 2000 Том 31, 1999 Том 30, 1998 Том 29, 1997 Том 28, 1996

Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v42.i5.40
pages 30-44

Optimal Quadrature Formulas for Computation of Continuous Wavelet Transforms of Functions in Certain Classes

Valeriy K. Zadiraka
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Svetlana S. Melnikova
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine
Liliya V. Luts
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev

Краткое описание

Consideration is given to the construction problem of quadrature formulas optimal by accuracy and the ones close to them for calculating continuous wavelet transforms. The optimal error estimates of calculating continuous wavelet transforms of functions of certain classes are obtained and the quadrature formulas to obtain these estimates are constructed.

ЛИТЕРАТУРА

  1. Dyakonov V.P., Wavelets. From theory to practice.

  2. Zhileykin Ya.M., Osipik Yu.I., On the error and the algorithms of numerical realization of continuous wavelet transforms.

  3. Bakhvalov N.S., Zhidkov N.P., Kobelkov G.M., Numerical methods.

  4. Natanson N.P., Constructive theory of functions.

  5. Ivanov V.V., On optimal algorithms of minimization of functions of certain classes.

  6. Zavialov Yu.S., Kvasov B.I., Miroshnichenko V.L., Methods of spline functions.

  7. Zadiraka V.K., Calculation theory of Fourier transform.

  8. Zadiraka V.K., Melnikova S.S., Digital processing of signals.