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Journal of Automation and Information Sciences

Publication de 12  numéros par an

ISSN Imprimer: 1064-2315

ISSN En ligne: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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

Volume 42, Numéro 5, 2010, pp. 30-44
DOI: 10.1615/JAutomatInfScien.v42.i5.40
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RÉSUMÉ

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.

RÉFÉRENCES
  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.

CITÉ PAR
  1. Zadiraka Valeriy, Luts Liliya, Shvidchenko Inna, Invariants of optimal integration of rapidly oscillatory functions, Physico-mathematical modelling and informational technologies, 32, 2021. Crossref

  2. Zadiraka V.K., Luts L.V., Shvidchenko I.V., Optimal Numerical Integration, Cybernetics and Computer Technologies, 4, 2020. Crossref

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