Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Serdyuk, Anatoly"'
Autor:
Serdyuk, Anatoly, Stepaniuk, Tetiana
We present a survey of results related to the solution of Kolmogorov--Nikolsky problem for Fourier sums on the classes of generalized Poisson integrals $C^{\alpha,r}_{\beta,p}$, which consists in finding of asymptotic equalities for exact upper bound
Externí odkaz:
http://arxiv.org/abs/2409.10629
Autor:
Serdyuk, Anatoly, Stepaniuk, Tetiana
In this paper we establish asymptotically best possible interpolation Lebesgue-type inequalities for $2\pi$-periodic functions $f$, which are representable as generalized Poisson integrals of the functions $\varphi$ from the space $L_p$, $1\leq p\leq
Externí odkaz:
http://arxiv.org/abs/2303.05568
Autor:
Serdyuk, Anatoly, Stepaniuk, Tetiana
On the sets of $2\pi$-periodic functions $f$, which are defined with a help of $(\psi, \beta)$-integrals of the functions $\varphi$ from $L_{1}$, we establish Lebesgue-type inequalities, in which the uniform norms of deviations of Fourier sums are ex
Externí odkaz:
http://arxiv.org/abs/2301.02017
Autor:
Serdyuk, Anatoly, Stepaniuk, Tetiana
In this paper we establish Lebesgue-type inequalities for $2\pi$-periodic functions $f$, which are defined by generalized Poisson integrals of the functions $\varphi$ from $L_{p}$, $1\leq p< \infty$. In these inequalities uniform norms of deviations
Externí odkaz:
http://arxiv.org/abs/1908.09517
Autor:
Serdyuk, Anatoly, Stepaniuk, Tetiana
For functions from the set of generalized Poisson integrals $C^{\alpha,r}_{\beta}L_{p}$, $1\leq p <\infty$, we obtain upper estimates for the deviations of Fourier sums in the uniform metric in terms of the best approximations of the generalized deri
Externí odkaz:
http://arxiv.org/abs/1804.05722
Autor:
Serdyuk, Anatoly S.1 serdyuk@imath.kiev.ua, Stepanyuk, Tetiana A.2 tania_stepaniuk@ukr.net
Publikováno v:
Bulletin de la Société des Sciences et des Lettres de Lodz. 2018, Vol. 68 Issue 2, p45-51. 7p.
Autor:
Serdyuk, Anatoly S.1 serdyuk@imath.kiev.ua
Publikováno v:
Bulletin de la Société des Sciences et des Lettres de Lodz. 2017, Vol. 67 Issue 1, p45-48. 4p.
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Serdyuk, Anatoly S.1 serdyuk@imath.kiev.ua, Stepanyuk, Tetiana A.2 tania-stepaniuk@ukr.net
Publikováno v:
Bulletin de la Société des Sciences et des Lettres de Lodz. 2016, Vol. 66 Issue 2, p35-43. 9p.
Autor:
SU, YING‐HSIU, WANG, MENGJUN, BLOCK, TIMOTHY M., LANDT, OLFERT, BOTEZATU, IRINA, SERDYUK, OL'GA, LICHTENSTEIN, ANATOLY, MELKONYAN, HOVSEP, TOMEI, L DAVID, UMANSKY, SAMUIL
Publikováno v:
Annals of the New York Academy of Sciences; 2004, Vol. 1022 Issue 1, p81-89, 9p