Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Ilham A. Aliev"'
Publikováno v:
Periodica Mathematica Hungarica. 80:249-258
The high-dimensional version of Fatou’s classical theorem asserts that the Poisson semigroup of a function $$f\in L_{p}(\mathbb {R}^{n}), \ 1\le p \le \infty $$, converges to f non-tangentially at Lebesque points. In this paper we investigate the r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e7a06c15879dfead6ad7f01dd77c366
https://doi.org/10.1007/s10998-019-00310-4
https://doi.org/10.1007/s10998-019-00310-4
Publikováno v:
Lithuanian Mathematical Journal. 60:9-24
We give new proofs of some known results on the values of the Riemann zeta function at positive integers and obtain some new theorems related to these values. Considering even zeta values as ζ(2n) = ηnπ2n, we obtain the generating functions of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::616733e17f2ae1dfc019a6d934aa5181
https://doi.org/10.1007/s10986-019-09456-7
https://doi.org/10.1007/s10986-019-09456-7
Autor:
Ilham A. Aliev, Cagla Sekin
Publikováno v:
Journal of Fourier Analysis and Applications. 27
We introduce new anisotropic wavelet-type transforms generated by two components: a wavelet measure (or a wavelet function) and a kernel function that naturally generalizes the Gauss and Poisson kernels. The analogues of Calderon’s reproducing form
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::37fa52b7da82b080c3ad12c4dd564932
https://doi.org/10.1007/s00041-021-09846-x
https://doi.org/10.1007/s00041-021-09846-x
Autor:
Ilham A. Aliev, Cagla Sekin
Publikováno v:
Rocky Mountain J. Math. 50, no. 3 (2020), 815-824
Classical parabolic Riesz and parabolic Bessel type potentials are interpreted as negative fractional powers of the differential operators (−△+∂∕∂t) and (I−△+∂∕∂t). Here, △ is the Laplacian and I is the identity operator. We int
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4dd9c164c27a27643df36caafe0025aa
https://doi.org/10.1216/rmj.2020.50.815
https://doi.org/10.1216/rmj.2020.50.815
Autor:
Ilham A. Aliev, Sinem Yucel
Publikováno v:
Integral Transforms and Special Functions. 29:235-251
We introduce the notion of bi-parametric potential-type operators, which generalize the Bessel and Flett potentials associated to singular Laplace–Bessel differential operator. Explicit inv...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::60b5622cc5196e8605cabf29056b2ca6
https://doi.org/10.1080/10652469.2017.1422735
https://doi.org/10.1080/10652469.2017.1422735
Autor:
Esra Saglik, Ilham A. Aliev
Publikováno v:
Filomat. 30:2809-2823
We introduce a wavelet-type transform generated by the so-called beta-semigroup, which is a natural generalization of the Gauss-Weierstrass and Poisson semigroups associated to the Laplace-Bessel convolution. By making use of this wavelet-type transf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cfbd51983b018dcd572a7e935e1c421d
https://doi.org/10.2298/fil1610809a
https://doi.org/10.2298/fil1610809a
Autor:
Ilham A. Aliev, Selim Çobanoğlu
Publikováno v:
Integral Transforms and Special Functions. 25:943-954
In harmonic analysis, an important problem is to obtain inversion formulas for the potential-type integral operators. The studies on this subject have been developed by the use of hypersingular integral technique. In this paper the families of trunca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46898c50201242f4c63355e9ec12d1de
https://doi.org/10.1080/10652469.2014.940581
https://doi.org/10.1080/10652469.2014.940581
Autor:
Ilham A. Aliev, Melih Eryigit
Publikováno v:
Journal of Mathematical Analysis and Applications. 406:352-359
The notion of a μ -smooth point of a L p -function φ and a family of truncated hypersingular integrals depending on a parameter e are introduced. Then the connection between the order of μ -smoothness of the function φ and the rate of convergence
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2a8ca7319e5ed601646b8be1b183d56
https://doi.org/10.1016/j.jmaa.2013.04.078
https://doi.org/10.1016/j.jmaa.2013.04.078
Autor:
Ilham A. Aliev, Sinem Sezer
Publikováno v:
Acta Mathematica Sinica, English Series. 27:741-746
The notion of µ-smoothness points of periodic functions of several variables is introduced and the rate of convergence of the Gauss-Weierstrass means of relevant Fourier series at these points is investigated.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::583e4dd0c6f0bb33e1b4d41a972b86a4
https://doi.org/10.1007/s10114-011-9399-x
https://doi.org/10.1007/s10114-011-9399-x
Autor:
Sinem Sezer, Ilham A. Aliev
Publikováno v:
Journal of Mathematical Analysis and Applications. 372:549-558
We introduce a composite wavelet-like transform generated by the so-called beta-semigroup and a wavelet measure. This wavelet-like transform enables one to obtain a new explicit inversion formula for the Riesz potentials and a new characterization of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0db91ca15eb04a7f43dca51193c8d68
https://doi.org/10.1016/j.jmaa.2010.07.009
https://doi.org/10.1016/j.jmaa.2010.07.009