On the maximum modulus of a complex polynomial

dc.contributor.author	Malik, Shabir
dc.contributor.department	Other	tr_TR
dc.contributor.faculty	Other	tr_TR
dc.date.accessioned	2022-12-28T08:08:08Z
dc.date.available	2022-12-28T08:08:08Z
dc.date.issued	2022
dc.description.abstract	In this paper we impose distinct restrictions on the moduli of the zeros of p ( z ) = n ∑ v = 0 a v z v and investigate the dependence of ∥ p ( R z ) − p ( σ z ) ∥ , R > σ ≥ 1 on M α and M α + π , where M α = max 1 ≤ k ≤ n \| p ( e i ( α + 2 k π ) / n ) \| and on certain coefficients of p ( z ) . This paper comprises several results, which in particular yields some classical polynomial inequalities as special cases. Moreover, the problem of estimating p ( 1 − w n ) , 0 < w ≤ given p ( 1 ) = 0 is considered.	tr_TR
dc.description.index	Trdizin	tr_TR
dc.identifier.endpage	681	tr_TR
dc.identifier.issn/e-issn	1303-5991
dc.identifier.issue	3	tr_TR
dc.identifier.startpage	666	tr_TR
dc.identifier.uri	https://doi.org/10.31801/cfsuasmas.989344	tr_TR
dc.identifier.uri	http://hdl.handle.net/20.500.12575/86530
dc.identifier.volume	71	tr_TR
dc.language.iso	en	tr_TR
dc.publisher	Ankara Üniversitesi	tr_TR
dc.relation.isversionof	10.31801/cfsuasmas.989344	tr_TR
dc.relation.journal	Communications, Series A1:Mathematics and Statistics	tr_TR
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı	tr_TR
dc.subject	Polynomials, definite integral, zeros, inequalities	tr_TR
dc.title	On the maximum modulus of a complex polynomial	tr_TR
dc.type	Article	tr_TR

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