Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Elena E. Berdysheva"'
Autor:
Elena E. Berdysheva, Maria A. Filatova
Publikováno v:
Ural Mathematical Journal, Vol 3, Iss 2 (2017)
Let \(A\) be the infinitesimal generator of a strongly continuous contraction semigroup in a Hilbert space \(H\). We give an upper estimate for the best approximation of the operator \(A\) by bounded linear operators with a prescribed norm in the spa
Externí odkaz:
https://doaj.org/article/2c02546cf8f2477298461d801733f42b
Publikováno v:
Journal of Computational and Applied Mathematics. 349:251-264
In this paper we approximate univariate set-valued functions (SVFs) of bounded variation with range consisting of general (not necessarily convex) compact sets. The approximation operators adapted to SVFs are local operators such as the symmetric Sch
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4f50cbeb9010a6aa9e6055a8c3fc34e
https://doi.org/10.1016/j.cam.2018.09.039
https://doi.org/10.1016/j.cam.2018.09.039
We introduce and investigate an adaptation of Fourier series to set-valued functions (multifunctions, SVFs) of bounded variation. In our approach we define an analogue of the partial sums of the Fourier series with the help of the Dirichlet kernel us
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef90028ca30308e07f4eeae0b2bc5e07
Publikováno v:
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. :45
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::70dab37aa3a4e4a3ac7ecba66671f101
https://doi.org/10.2422/2036-2145.202002_007
https://doi.org/10.2422/2036-2145.202002_007
Publikováno v:
Journal of Approximation Theory. 251:105339
In this paper we consider a generalization of the Bernstein-Durrmeyer operator where the integrals are taken with respect to measures that may vary from term to term. This construction is more general than the one considered by the first named author
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a0660c5fe9ac6ad9b67e50e438a861e5
https://doi.org/10.1016/j.jat.2019.105339
https://doi.org/10.1016/j.jat.2019.105339
Autor:
Maria A. Filatova, Elena E. Berdysheva
Publikováno v:
Ural Mathematical Journal, Vol 3, Iss 2 (2017)
Let A be the infinitesimal generator of a strongly continuous contraction semigroup in a Hilbert space H. We give an upper estimate for the best approximation of the operator A by bounded linear operators with a prescribed norm in the space H on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba35db3d269fd3aabb08499f61c416e9
https://umjuran.ru/index.php/umj/article/view/100
https://umjuran.ru/index.php/umj/article/view/100
Autor:
Elena E. Berdysheva
Publikováno v:
Journal of Mathematical Analysis and Applications. 418:734-752
We consider the Bernstein–Durrmeyer operator M n , ρ with respect to an arbitrary measure ρ on the d -dimensional simplex. This operator is a generalization of the well-known Bernstein–Durrmeyer operator with respect to the Lebesgue measure. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::adda3ea4e3c995126d9cb667d63398a1
https://doi.org/10.1016/j.jmaa.2014.04.006
https://doi.org/10.1016/j.jmaa.2014.04.006
Autor:
Bing-Zheng Li, Elena E. Berdysheva
Publikováno v:
Publications de l'Institut Math?matique (Belgrade). 96:23-29
We consider Bernstein-Durrmeyer operators with respect to arbitrary measure on the simplex in the space Rd. We obtain estimates for rate of convergence in the corresponding weighted Lp-spaces, 1 ? p < ?.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::777e0c05f29255f24f1f8c82429d1078
https://doi.org/10.2298/pim1410023b
https://doi.org/10.2298/pim1410023b
Autor:
Elena E. Berdysheva
Publikováno v:
Journal of Mathematical Analysis and Applications. 394:324-336
The Bernstein–Durrmeyer operator with respect to arbitrary measure is a modification of the classical Bernstein operator for functions from the corresponding weighted L q -spaces on a simplex in R d . As a first step in studying convergence of this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e7b320c81d290f22f7496393f9cd010
https://doi.org/10.1016/j.jmaa.2012.03.004
https://doi.org/10.1016/j.jmaa.2012.03.004
Autor:
Kurt Jetter, Elena E. Berdysheva
Publikováno v:
Journal of Approximation Theory. 162:576-598
In this paper we introduce a class of Bernstein–Durrmeyer operators with respect to an arbitrary measure ρ on the d-dimensional simplex, and a class of more general polynomial integral operators with a kernel function involving the Bernstein basis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ebace71163db7d1e4243f8d3176b0034
https://doi.org/10.1016/j.jat.2009.11.005
https://doi.org/10.1016/j.jat.2009.11.005