Standard

Wavelet approximation in Orlicz spaces. / Krivoshein, A.; Skopina, M.

In: Journal of Mathematical Analysis and Applications, Vol. 516, No. 1, 126473, 01.12.2022.

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

Harvard

Krivoshein, A & Skopina, M 2022, 'Wavelet approximation in Orlicz spaces', Journal of Mathematical Analysis and Applications, vol. 516, no. 1, 126473. https://doi.org/10.1016/j.jmaa.2022.126473

APA

Krivoshein, A., & Skopina, M. (2022). Wavelet approximation in Orlicz spaces. Journal of Mathematical Analysis and Applications, 516(1), [126473]. https://doi.org/10.1016/j.jmaa.2022.126473

Vancouver

Krivoshein A, Skopina M. Wavelet approximation in Orlicz spaces. Journal of Mathematical Analysis and Applications. 2022 Dec 1;516(1). 126473. https://doi.org/10.1016/j.jmaa.2022.126473

Author

Krivoshein, A. ; Skopina, M. / Wavelet approximation in Orlicz spaces. In: Journal of Mathematical Analysis and Applications. 2022 ; Vol. 516, No. 1.

BibTeX

@article{45d133c896af4b9486759cbbd00173a4,
title = "Wavelet approximation in Orlicz spaces",
abstract = "Approximation properties of wavelet decompositions in the Orlicz spaces are investigated. Both dual wavelet frames and frame-like wavelet systems are considered. The order of approximation (in the sense of modular convergence) of wavelet frame decompositions satisfying a number of natural conditions is found for an arbitrary Orlicz space. For the Orlicz spaces satisfying Δ2-condition, an error estimate providing approximation order of such wavelet expansions is given in terms of the Luxemburg norm. Similar results are obtained for appropriate frame-like systems under the assumption that an Orlicz space satisfies Δ′-condition.",
keywords = "Approximation order, Orlicz space, Quasi-projection operator, Wavelet decomposition",
author = "A. Krivoshein and M. Skopina",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",
year = "2022",
month = dec,
day = "1",
doi = "10.1016/j.jmaa.2022.126473",
language = "English",
volume = "516",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Wavelet approximation in Orlicz spaces

AU - Krivoshein, A.

AU - Skopina, M.

N1 - Publisher Copyright: © 2022 Elsevier Inc.

PY - 2022/12/1

Y1 - 2022/12/1

N2 - Approximation properties of wavelet decompositions in the Orlicz spaces are investigated. Both dual wavelet frames and frame-like wavelet systems are considered. The order of approximation (in the sense of modular convergence) of wavelet frame decompositions satisfying a number of natural conditions is found for an arbitrary Orlicz space. For the Orlicz spaces satisfying Δ2-condition, an error estimate providing approximation order of such wavelet expansions is given in terms of the Luxemburg norm. Similar results are obtained for appropriate frame-like systems under the assumption that an Orlicz space satisfies Δ′-condition.

AB - Approximation properties of wavelet decompositions in the Orlicz spaces are investigated. Both dual wavelet frames and frame-like wavelet systems are considered. The order of approximation (in the sense of modular convergence) of wavelet frame decompositions satisfying a number of natural conditions is found for an arbitrary Orlicz space. For the Orlicz spaces satisfying Δ2-condition, an error estimate providing approximation order of such wavelet expansions is given in terms of the Luxemburg norm. Similar results are obtained for appropriate frame-like systems under the assumption that an Orlicz space satisfies Δ′-condition.

KW - Approximation order

KW - Orlicz space

KW - Quasi-projection operator

KW - Wavelet decomposition

UR - http://www.scopus.com/inward/record.url?scp=85134148240&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2022.126473

DO - 10.1016/j.jmaa.2022.126473

M3 - Article

AN - SCOPUS:85134148240

VL - 516

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

M1 - 126473

ER -

ID: 98681606