Zobrazeno 1 - 10
of 34
pro vyhledávání: '"V. V. Savchuk"'
Publikováno v:
Ukrainian Mathematical Journal. 74:773-782
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a884346d4a2c2810a22168fd389876d2
https://doi.org/10.1007/s11253-022-02100-7
https://doi.org/10.1007/s11253-022-02100-7
Publikováno v:
Ukrains’kyi Matematychnyi Zhurnal. 74:676-684
УДК 517.5 Наведено конструктивну характеристику класу Лiпшиця голоморфних у крузi функцiй в термiнах середнiх Чезаро порядку α ≥ 2 рядiв Тей
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad6457c806498f7ef10f210dc839835d
https://doi.org/10.37863/umzh.v74i5.7143
https://doi.org/10.37863/umzh.v74i5.7143
Autor:
V. V. Savchuk
Publikováno v:
Ukrainian Mathematical Journal. 73:144-155
We compute the upper bounds for the H2-norms of partial sums of the Fourier series in the Laguerre basis on the unit ball in the space of bounded holomorphic functions on unit disk. We present an application of the main result to the solution of some
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::382acf09b763814280f79cbff199dadb
https://doi.org/10.1007/s11253-021-01914-1
https://doi.org/10.1007/s11253-021-01914-1
Autor:
V. V. Savchuk
Publikováno v:
Ukrains’kyi Matematychnyi Zhurnal. 73:128-137
УДК 517.5 Обчислено значення точної верхньої межі -норм частинних сум ряду Фур'є за базисом Лагерра на одиничній кулі простору обмежених г
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7059f5bcf8f410d45cbdc7efaf09df3f
https://doi.org/10.37863/umzh.v73i1.2371
https://doi.org/10.37863/umzh.v73i1.2371
Publikováno v:
Journal of Mathematical Sciences. 249:705-719
Approximative properties of linear summation methods of Fourier series are considered in the Orlicz-type spaces SM. In particular, in terms of approximations by such methods, constructive characteristics are obtained for the classes of functions whos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::462f17ba7613d29d9bf393e5f0e1d26d
https://doi.org/10.1007/s10958-020-04967-y
https://doi.org/10.1007/s10958-020-04967-y
Autor:
V. V. Savchuk, M. V. Savchuk
Publikováno v:
Reports of the National Academy of Sciences of Ukraine. :9-15
The classical Schur criterion answers the question of whether a function f given by its power series f(x)=∑k=0∞CkZk is a Schur function that is, holomorphic in a unit disk D and such that supz∈D | f (z) | ≤ 1. Regarding this criterion, there
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::706b08c21dd4c3af1993503318c596ca
https://doi.org/10.15407/dopovidi2020.11.009
https://doi.org/10.15407/dopovidi2020.11.009
Publikováno v:
Ukrainian Mathematical Journal. 71:589-618
We compute the exact values of the least upper bounds on the classes of bounded holomorphic and harmonic functions in a unit disk for the remainders in a Voronovskaya-type formula in the case of approximation by Fejer means. We also present some cons
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2312ce5c01636a5f373a29a61cab5ec
https://doi.org/10.1007/s11253-019-01665-0
https://doi.org/10.1007/s11253-019-01665-0
Publikováno v:
Complex Variables and Elliptic Equations. 65:293-305
Exact estimates for Faber polynomials, norm of Faber operator, and L1-norm of the generating function for the sequence of Faber operator of univalent functions of class Σ are found. The description...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67448a48245f93113f29a8d8fd15838d
https://doi.org/10.1080/17476933.2019.1591379
https://doi.org/10.1080/17476933.2019.1591379
Publikováno v:
Journal of Nonlinear Sciences and Applications. 12:412-419
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75c4d32a5b9b05b884771b030eca7507
https://doi.org/10.22436/jnsa.012.07.01
https://doi.org/10.22436/jnsa.012.07.01
Publikováno v:
Filomat. 33:1471-1484
In the paper, exact constants in direct and inverse approximation theorems for functions of several variables are found in the spaces Sp. The equivalence between moduli of smoothness and some K-functionals is also shown in the spaces Sp.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1b7565a3ba742584917f650cf605b912
https://doi.org/10.2298/fil1905471a
https://doi.org/10.2298/fil1905471a