Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Rashid A. Aliev"'
Autor:
Rashid A. Aliev, Aynur N. Ahmadova
Publikováno v:
Проблемы анализа, Vol 9 (27), Iss 2, Pp 3-15 (2020)
The Ahlfors–Beurling transform has been well studied on classical Lebesgue, Morrey, Sobolev, Besov, Campanato, etc. spaces. However, its discrete version is still not studied well. In this paper, we study the properties of the discrete Ahlfors
Externí odkaz:
https://doaj.org/article/9d7e22f3a623458cb88ba29782788082
Autor:
Rashid A. Aliev, Aynur F. Amrahova
Publikováno v:
Ural Mathematical Journal, Vol 4, Iss 2 (2018)
In this paper, we study the asymptotic behavior of the distribution function of the discrete Hilbert transform of sequences from the class \(l_{1} \) and find a necessary condition and a sufficient condition for the summability of the discrete Hilber
Externí odkaz:
https://doaj.org/article/368f96d3807a4fdaa7ebf4f461ea3dd3
Publikováno v:
Moscow Mathematical Journal. 22:393-400
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc8df2b1bcb9e8e729bc42a2cec151c6
https://doi.org/10.17323/1609-4514-2022-22-3-393-400
https://doi.org/10.17323/1609-4514-2022-22-3-393-400
Publikováno v:
Ukrains’kyi Matematychnyi Zhurnal. 73:579-588
UDC 517.5 We consider the problem of representation of a bivariate function by sums of ridge functions. It is shown that if a function of a certain smoothness class is represented by a sum of finitely many arbitrarily behaved ridge functions, then it
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9abc5a1208023bc9d15587fb6cc37ed
https://doi.org/10.37863/umzh.v73i5.263
https://doi.org/10.37863/umzh.v73i5.263
Autor:
Rashid A. Aliev, Aynur N Ahmadova
Publikováno v:
Ufimskii Matematicheskii Zhurnal. 13:98-109
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b61284314a80c66224e54643cee8367b
https://doi.org/10.13108/2021-13-1-98
https://doi.org/10.13108/2021-13-1-98
Autor:
Rashid A. Aliev, Aynur F. Amrahova
Publikováno v:
Complex Analysis and Operator Theory. 13:3883-3897
The asymptotic behavior of the distribution function of the Hilbert transform of sequences from the class l1 is studied. The concept of Q-summability of series is introduced; using this notion, it is shown that the Hilbert transform of a sequence fro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::701fd4e3f4c898eea6e3149d6cfc9507
https://doi.org/10.1007/s11785-019-00936-9
https://doi.org/10.1007/s11785-019-00936-9
Publikováno v:
Journal of Approximation Theory. 237:210-221
In this paper we prove that if a continuous multivariate function is represented by a sum of arbitrarily behaved ridge functions, then, under a suitable condition, it can be represented by a sum of continuous ridge functions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c10fb94ae0f693508a4f842c4ec20983
https://doi.org/10.1016/j.jat.2018.09.006
https://doi.org/10.1016/j.jat.2018.09.006
Autor:
Rashid A. Aliev, Khanim I. Nebiyeva
Publikováno v:
Volume: 3, Issue: 3 104-112
Constructive Mathematical Analysis
Constructive Mathematical Analysis
It is known that the restricted Riesz transform of a Lebesgue integrable function is not Lebesgue integrable. In this paper we prove that the restricted Riesz transform of a Lebesgue integrable function is A-integrable and the analogue of Riesz's equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df201e3a1ea6d21628031acf25fa2ca7
https://dergipark.org.tr/tr/pub/cma/issue/56367/728156
https://dergipark.org.tr/tr/pub/cma/issue/56367/728156
Autor:
Rashid A. Aliev, Khanim I. Nebiyeva
Publikováno v:
Integral Transforms and Special Functions. 29:820-830
In this paper we prove that the restricted Ahlfors–Beurling transform of a Lebesgue integrable function is A-integrable and derive an analogue of Riesz's equality holds.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eb65ecec5d2c705de861506a6d245a5d
https://doi.org/10.1080/10652469.2018.1501046
https://doi.org/10.1080/10652469.2018.1501046
Autor:
Rashid A. Aliev
Publikováno v:
Complex Variables and Elliptic Equations. 62:536-553
In the present paper, we introduce the notions of - and -integrals of function, measurable on the real axis R and prove that the Cauchy-type integrals of a finite complex Borel measures on the upper and lower half-plane are Cauchy - and -integrals, r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73f4cb023506c946d1acec3fabe58b76
https://doi.org/10.1080/17476933.2016.1227977
https://doi.org/10.1080/17476933.2016.1227977