The Carathéodory Inequality on the Boundary for Holomorphic Functions in the Unit Disc

dc.contributor.author	Örnek, B.N.
dc.date.accessioned	2018-07-10T16:09:11Z
dc.date.available	2018-07-10T16:09:11Z
dc.date.issued	2016
dc.identifier.citation	The Carathéodory Inequality on the Boundary for Holomorphic Functions in the Unit Disc / B.N. Örnek // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 4. — С. 287-301. — Бібліогр.: 9 назв. — англ.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.other	DOI : doi.org/10.15407/mag12.04.287
dc.identifier.other	Mathematics Subject Classification 2000: 30C80
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/140556
dc.description.abstract	In this paper, a boundary version of the Carathéodory inequality is studied. For the function f(z), defined in the unit disc with f(0) = 0, R f(z) ≤ A, we estimate a modulus of angular derivative at the boundary point z0, Rf(z0) = A, by taking into account the first two nonzero Maclaurin coefficients. The sharpness of these estimates is also proved.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	The Carathéodory Inequality on the Boundary for Holomorphic Functions in the Unit Disc	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA