Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Andriy Prymak"'
Autor:
Andriy Prymak
Publikováno v:
SIAM Journal on Discrete Mathematics. 37:17-24
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a96bce3225c3fa87505bc8e4a2b49d4
https://doi.org/10.1137/22m1490314
https://doi.org/10.1137/22m1490314
Autor:
Feng Dai, Andriy Prymak
Publikováno v:
Transactions of the American Mathematical Society. 375:1933-1976
We prove a new Bernstein type inequality in L p L^p spaces associated with the normal and the tangential derivatives on the boundary of a general compact C 2 C^2 -domain. We give two applications: Marcinkiewicz type inequality for discretization of L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00ab462f85a14fc6fe03c2c70c57f234
https://doi.org/10.1090/tran/8550
https://doi.org/10.1090/tran/8550
Publikováno v:
Constructive Approximation. 54:455-471
The paper is devoted to discretization of integral norms of functions from a given finite dimensional subspace. Even though this problem is extremely important in applications, its systematic study has begun only recently. In this paper we obtain a c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b086804aa3d98c23be7e338dc880867
https://doi.org/10.1007/s00365-021-09539-0
https://doi.org/10.1007/s00365-021-09539-0
Autor:
O. Usoltseva, Andriy Prymak
Publikováno v:
Acta Mathematica Hungarica. 158:216-234
Up to a constant factor, we compute the Christoffel function on planar domains with boundary consisting of finitely many C2 curves such that each corner point of the boundary has interior angle strictly between 0 and $$\pi $$ . The resulting formula
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::233a133c6f8b4183a778161f8ec59248
https://doi.org/10.1007/s10474-019-00945-2
https://doi.org/10.1007/s10474-019-00945-2
Publikováno v:
Recercat. Dipósit de la Recerca de Catalunya
instname
Journal of Mathematical Analysis and Applications
RECERCAT (Dipòsit de la Recerca de Catalunya)
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
instname
Journal of Mathematical Analysis and Applications
RECERCAT (Dipòsit de la Recerca de Catalunya)
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Pippenger ([Pip77]) showed the existence of (6m, 4m, 3m, 6)-concentrator for each positive integer m using a probabilistic method. We generalize his approach and prove existence of (6m, 4m, 3m, 5.05)-concentrator (which is no longer regular, but has
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b9164dda543800a03650c36d4c9a16b
http://hdl.handle.net/2072/419145
http://hdl.handle.net/2072/419145
Autor:
Feng Dai, Andriy Prymak
This paper studies a new Whitney type inequality on a compact domain $\Omega\subset {\mathbb{R}}^d$ that takes the form $$\inf_{Q\in \Pi_{r-1}^d({\mathcal{E}})} \|f-Q\|_p \leq C(p,r,\Omega) \omega_{{\mathcal{E}}}^r(f,{\rm diam}(\Omega))_p,\ \ r\in {\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18d144485a638c0a0628afc0e6e7b05e
http://arxiv.org/abs/2010.08374
http://arxiv.org/abs/2010.08374
Publikováno v:
Uspekhi Matematicheskikh Nauk. 74:3-58
В статье обсуждается задача о замене интегральной нормы по заданной вероятностной мере соответствующей интегральной нормой по дискрет
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dcd7df233ba3d3a43b0871e2bec92807
https://doi.org/10.4213/rm9892
https://doi.org/10.4213/rm9892
Autor:
Andriy Prymak
For an arbitrary planar convex domain, we compute the behavior of Christoffel function up to a constant factor using comparison with other simple reference domains. The lower bound is obtained by constructing an appropriate ellipse contained in the d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6638ac2770d8d97717a596921fb3e06a
http://arxiv.org/abs/2003.12833
http://arxiv.org/abs/2003.12833
Bezdek and Kiss showed that existence of origin-symmetric coverings of unit sphere in ${\mathbb {E}}^n$ by at most $2^n$ congruent spherical caps with radius not exceeding $\arccos \sqrt {\frac {n-1}{2n}}$ implies the X-ray conjecture and the illumin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f84932f71773cfb28a34b8fc8b85164f
Publikováno v:
Journal of Approximation Theory. 210:1-22
For each q ∈ N 0 , we construct positive linear polynomial approximation operators M n that simultaneously preserve k -monotonicity for all 0 ≤ k ≤ q and yield the estimate | f ( x ) − M n ( f , x ) | ≤ c ω 2 φ λ ( f , n − 1 φ 1 −
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::55d6f080515fa9b66ba019f35e82c984
https://doi.org/10.1016/j.jat.2016.06.001
https://doi.org/10.1016/j.jat.2016.06.001