Sharpened forms of the generalized Schwarz inequality on the boundary

Autor:	Tuğba Akyel, Bülent Nafi Örnek
Rok vydání:	2016
Předmět:	Schwarz integral formula Pure mathematics Schwarz lemma General Mathematics Additive Schwarz method Mathematical analysis Schwarz reflection principle Holomorphic function Boundary (topology) Schwarz alternating method Cauchy–Schwarz inequality Mathematics
Zdroj:	Proceedings - Mathematical Sciences. 126:69-78
ISSN:	0973-7685 0253-4142
DOI:	10.1007/s12044-015-0255-2
Popis:	In this paper, a boundary version of the Schwarz inequality is investigated. We obtain more general results at the boundary. If we know the second coefficient in the expansion of the function f(z) = 1 + cpzp + cp + 1zp + 1…, then we obtain new inequalities of the Schwarz inequality at boundary by taking into account cp + 1 and zeros of the function f(z) − 1. The sharpness of these inequalities is also proved.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4b1f05ab076eafb5be49359bd3a4003a https://doi.org/10.1007/s12044-015-0255-2 Zobrazit plný text záznamu Full text from SpringerLink