Standard

Realization of the spline-wavelet decomposition of the first order. / Dem’yanovich, Yu. K.; Ponomarev, A. S.

In: Journal of Mathematical Sciences, Vol. 224, No. 6, 2017, p. 833-860.

Research output: Contribution to journal › Article › peer-review

Harvard

Dem’yanovich, YK & Ponomarev, AS 2017, 'Realization of the spline-wavelet decomposition of the first order', Journal of Mathematical Sciences, vol. 224, no. 6, pp. 833-860. https://doi.org/10.1007/s10958-017-3454-9

APA

Dem’yanovich, Y. K., & Ponomarev, A. S. (2017). Realization of the spline-wavelet decomposition of the first order. Journal of Mathematical Sciences, 224(6), 833-860. https://doi.org/10.1007/s10958-017-3454-9

Vancouver

Dem’yanovich YK, Ponomarev AS. Realization of the spline-wavelet decomposition of the first order. Journal of Mathematical Sciences. 2017;224(6):833-860. https://doi.org/10.1007/s10958-017-3454-9

Author

Dem’yanovich, Yu. K. ; Ponomarev, A. S. / Realization of the spline-wavelet decomposition of the first order. In: Journal of Mathematical Sciences. 2017 ; Vol. 224, No. 6. pp. 833-860.

BibTeX

@article{c45b3e4dbc7c4b36b8befee395018c04,
title = "Realization of the spline-wavelet decomposition of the first order",
abstract = "The aim of the paper is to present an orthogonal basis for the discrete wavelets in the general structure of the spline-wavelet decomposition. Decomposition of an original numerical flow without embedding in the standard functional spaces is discussed. It makes it possible to concentrate on simplification of the realization formulas: here, the simple formulas of decomposition and reconstruction are presented, an orthogonal wavelet basis is constructed, and an illustrative example is given. Finally, some estimates of the complexity of the method discussed for different software environments are provided.",
author = "Dem{\textquoteright}yanovich, {Yu. K.} and Ponomarev, {A. S.}",
note = "Dem{\textquoteright}yanovich, Y.K., Ponomarev, A.S. Realization of the Spline-Wavelet Decomposition of the First Order. J Math Sci 224, 833–860 (2017). https://doi.org/10.1007/s10958-017-3454-9",
year = "2017",
doi = "10.1007/s10958-017-3454-9",
language = "English",
volume = "224",
pages = "833--860",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Realization of the spline-wavelet decomposition of the first order

AU - Dem’yanovich, Yu. K.

AU - Ponomarev, A. S.

N1 - Dem’yanovich, Y.K., Ponomarev, A.S. Realization of the Spline-Wavelet Decomposition of the First Order. J Math Sci 224, 833–860 (2017). https://doi.org/10.1007/s10958-017-3454-9

PY - 2017

Y1 - 2017

N2 - The aim of the paper is to present an orthogonal basis for the discrete wavelets in the general structure of the spline-wavelet decomposition. Decomposition of an original numerical flow without embedding in the standard functional spaces is discussed. It makes it possible to concentrate on simplification of the realization formulas: here, the simple formulas of decomposition and reconstruction are presented, an orthogonal wavelet basis is constructed, and an illustrative example is given. Finally, some estimates of the complexity of the method discussed for different software environments are provided.

AB - The aim of the paper is to present an orthogonal basis for the discrete wavelets in the general structure of the spline-wavelet decomposition. Decomposition of an original numerical flow without embedding in the standard functional spaces is discussed. It makes it possible to concentrate on simplification of the realization formulas: here, the simple formulas of decomposition and reconstruction are presented, an orthogonal wavelet basis is constructed, and an illustrative example is given. Finally, some estimates of the complexity of the method discussed for different software environments are provided.

UR - http://www.scopus.com/inward/record.url?scp=85052139142&partnerID=8YFLogxK

U2 - 10.1007/s10958-017-3454-9

DO - 10.1007/s10958-017-3454-9

M3 - Article

AN - SCOPUS:85052139142

VL - 224

SP - 833

EP - 860

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 9319907