Zobrazeno 1 - 10
of 19
pro vyhledávání: '"V. S. Romanyuk"'
Autor:
N. V. Parfinovych, A.M. Pasko, A. M. Samoilenko, O. V. Davydov, V. S. Romanyuk, A. S. Romanyuk, S. B. Vakarchuk, O. О. Shumeiko, V.O. Kofanov, I. O. Shevchuk, V. L. Velykin, V. F. Babenko, R. M. Trigub, A. S. Serdyuk
Publikováno v:
Ukrains’kyi Matematychnyi Zhurnal. 72:1006-1110
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::caa4e41a31df110ec9e4b7e3176cb2e6
https://doi.org/10.37863/umzh.v72i7.6166
https://doi.org/10.37863/umzh.v72i7.6166
Autor:
A. S. Romanyuk, V. S. Romanyuk
Publikováno v:
Ukrainian Mathematical Journal. 71:1257-1272
We establish the exact-order estimates for some approximating characteristics of the classes $$ {\mathbbm{W}}_{p,\alpha}^r $$ and $$ {\mathbbm{B}}_{p,\theta}^r $$ of periodic functions of one and many variables in the norm of the space B∞,1.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c3f52a745d87570d0349e51360acfadc
https://doi.org/10.1007/s11253-019-01711-x
https://doi.org/10.1007/s11253-019-01711-x
Autor:
V. S. Romanyuk, A. S. Romanyuk
Publikováno v:
Ukrainian Mathematical Journal. 71:308-321
We obtain the exact-order estimates of the Kolmogorov widths and entropy numbers for the classes $$ {\mathbbm{W}}_{p,\alpha}^r $$ and $$ {\mathbbm{B}}_{p,\theta}^r $$ in the norm of the space B∞,1.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d45761b5cdb8dac0cb4b58c3398394c7
https://doi.org/10.1007/s11253-019-01646-3
https://doi.org/10.1007/s11253-019-01646-3
Publikováno v:
IOP Conference Series: Earth and Environmental Science. 1061:012044
The relevance of the chosen topic is due to the need to solve environmental problems that arise when drilling oil and gas wells. The study is aimed at the disposal, neutralization and reuse of drilling waste, which will create a reserve of competitiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::26337ee96d9de6176f40eec28c27fff8
https://doi.org/10.1088/1755-1315/1061/1/012044
https://doi.org/10.1088/1755-1315/1061/1/012044
Autor:
V. S. Romanyuk
Publikováno v:
Ukrainian Mathematical Journal. 69:796-810
We establish the exact-order estimates of the Kolmogorov widths and entropy numbers for unit balls from the binary Besov spaces dyad $$ {B}_{p,\theta}^{0,\gamma } $$ compactly embedded in the exponential Orlicz spaces exp Lν equipped with the Luxemb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54d46f8d02762d743b8fe9d444df7ca3
https://doi.org/10.1007/s11253-017-1396-5
https://doi.org/10.1007/s11253-017-1396-5
Autor:
V. S. Romanyuk
Publikováno v:
Ukrainian Mathematical Journal. 68:928-939
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7d257d4d53a931162753b93396575eb0
https://doi.org/10.1007/s11253-016-1266-6
https://doi.org/10.1007/s11253-016-1266-6
Autor:
V. S. Romanyuk
Publikováno v:
Ukrainian Mathematical Journal. 68:625-637
We describe the isotropic Besov spaces of functions of several variables in the terms of conditions imposed on the Fourier–Haar coefficients.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::246e271330323349d599eb4434321562
https://doi.org/10.1007/s11253-016-1246-x
https://doi.org/10.1007/s11253-016-1246-x
Autor:
V. S. Romanyuk
Publikováno v:
Ukrainian Mathematical Journal. 67:1411-1424
In the Lebesgue spaces L p ([0, 1] d ), 1 ≤ p ≤ ∞, for d ≥ 2, we define a multiple basis system of functions H d = (h n ) = 1 ∞ . This system has the main properties of the well-known one-dimensional Haar basis H. In particular, it is shown
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f097aaa761ae129474a18a90d97784e
https://doi.org/10.1007/s11253-016-1162-0
https://doi.org/10.1007/s11253-016-1162-0
Constructive Characteristic of ho¨ Lder Classes and M-Term Approximations in the Multiple Haar Basis
Autor:
V. S. Romanyuk
Publikováno v:
Ukrainian Mathematical Journal. 66:391-403
In terms of the best polynomial approximations in the multiple Haar basis, we obtain a constructive characteristic of the Holder classes H of functions defined on the unit cube $$ \mathbb{I} $$ d of the space ℝ d under the restriction $$ 0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa0d0cdcfbd5905f4f13ef58a62b4463
https://doi.org/10.1007/s11253-014-0938-3
https://doi.org/10.1007/s11253-014-0938-3
Autor:
V. S. Romanyuk, A. S. Romanyuk
Publikováno v:
Ukrainian Mathematical Journal. 65:1862-1882
We obtain upper bounds for the values of the best bilinear approximations in the Lebesgue spaces of periodic functions of many variables from the Besov-type classes. In special cases, it is shown that these bounds are order exact.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aabc035169fe0731d6edc6192b85a917
https://doi.org/10.1007/s11253-014-0903-1
https://doi.org/10.1007/s11253-014-0903-1