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ON ESTIMATES OF M-TERM APPROXIMATIONS ON CLASSES OF FUNCTIONS WITH BOUNDED MIXED DERIVATIVE IN THE LORENTZ SPACE. / Akishev, G.; Myrzagaliyeva, A.
In: Journal of Mathematical Sciences, Vol. 266, No. 6, 01.10.2022, p. 870-885.

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

Harvard

Akishev, G & Myrzagaliyeva, A 2022, 'ON ESTIMATES OF M-TERM APPROXIMATIONS ON CLASSES OF FUNCTIONS WITH BOUNDED MIXED DERIVATIVE IN THE LORENTZ SPACE', Journal of Mathematical Sciences, vol. 266, no. 6, pp. 870-885. https://doi.org/10.1007/s10958-022-06146-7

APA

Akishev, G., & Myrzagaliyeva, A. (2022). ON ESTIMATES OF M-TERM APPROXIMATIONS ON CLASSES OF FUNCTIONS WITH BOUNDED MIXED DERIVATIVE IN THE LORENTZ SPACE. Journal of Mathematical Sciences, 266(6), 870-885. https://doi.org/10.1007/s10958-022-06146-7

Vancouver

Akishev G, Myrzagaliyeva A. ON ESTIMATES OF M-TERM APPROXIMATIONS ON CLASSES OF FUNCTIONS WITH BOUNDED MIXED DERIVATIVE IN THE LORENTZ SPACE. Journal of Mathematical Sciences. 2022 Oct 1;266(6):870-885. doi: 10.1007/s10958-022-06146-7

Author

Akishev, G. ; Myrzagaliyeva, A. / ON ESTIMATES OF M-TERM APPROXIMATIONS ON CLASSES OF FUNCTIONS WITH BOUNDED MIXED DERIVATIVE IN THE LORENTZ SPACE. In: Journal of Mathematical Sciences. 2022 ; Vol. 266, No. 6. pp. 870-885.

BibTeX

@article{d9418520b11c49a588b489475b1967a8,
title = "ON ESTIMATES OF M-TERM APPROXIMATIONS ON CLASSES OF FUNCTIONS WITH BOUNDED MIXED DERIVATIVE IN THE LORENTZ SPACE",
abstract = "The paper considers spaces of periodic functions of several variables, namely, the Lorentz space Lq,τ(Tm), the class of functions with bounded mixed fractional derivative Wr¯¯¯q,τ, 1<q,τ<∞, and studies the order of the best M-term approximation of a function f∈Lp,τ(Tm) by trigonometric polynomials. The article consists of the introduction, the main part, and the conclusion. In the introduction, we introduce basic concepts, definitions, and necessary statements for the proof of the main results. You can also find information about previous results on the topic. In the main part, we establish exact-order estimates for the best M-term approximations of functions of the class Wr¯¯¯q,τ1 in the norm of the space Lp,τ2(Tm) for various relations between the parameters p,q,τ1,τ2.</q,τ<∞",
author = "G. Akishev and A. Myrzagaliyeva",
year = "2022",
month = oct,
day = "1",
doi = "10.1007/s10958-022-06146-7",
language = "English",
volume = "266",
pages = "870--885",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - ON ESTIMATES OF M-TERM APPROXIMATIONS ON CLASSES OF FUNCTIONS WITH BOUNDED MIXED DERIVATIVE IN THE LORENTZ SPACE

AU - Akishev, G.

AU - Myrzagaliyeva, A.

PY - 2022/10/1

Y1 - 2022/10/1

N2 - The paper considers spaces of periodic functions of several variables, namely, the Lorentz space Lq,τ(Tm), the class of functions with bounded mixed fractional derivative Wr¯¯¯q,τ, 1<q,τ<∞, and studies the order of the best M-term approximation of a function f∈Lp,τ(Tm) by trigonometric polynomials. The article consists of the introduction, the main part, and the conclusion. In the introduction, we introduce basic concepts, definitions, and necessary statements for the proof of the main results. You can also find information about previous results on the topic. In the main part, we establish exact-order estimates for the best M-term approximations of functions of the class Wr¯¯¯q,τ1 in the norm of the space Lp,τ2(Tm) for various relations between the parameters p,q,τ1,τ2.</q,τ<∞

AB - The paper considers spaces of periodic functions of several variables, namely, the Lorentz space Lq,τ(Tm), the class of functions with bounded mixed fractional derivative Wr¯¯¯q,τ, 1<q,τ<∞, and studies the order of the best M-term approximation of a function f∈Lp,τ(Tm) by trigonometric polynomials. The article consists of the introduction, the main part, and the conclusion. In the introduction, we introduce basic concepts, definitions, and necessary statements for the proof of the main results. You can also find information about previous results on the topic. In the main part, we establish exact-order estimates for the best M-term approximations of functions of the class Wr¯¯¯q,τ1 in the norm of the space Lp,τ2(Tm) for various relations between the parameters p,q,τ1,τ2.</q,τ<∞

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85150057938

U2 - 10.1007/s10958-022-06146-7

DO - 10.1007/s10958-022-06146-7

M3 - Article

VL - 266

SP - 870

EP - 885

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 41593935