Bernstein and Markov-type inequalities for polynomials on real Banach spaces

Munoz, GA; Sarantopoulos, Y

dc.contributor.author	Munoz, GA	en
dc.contributor.author	Sarantopoulos, Y	en
dc.date.accessioned	2014-03-01T01:17:34Z
dc.date.available	2014-03-01T01:17:34Z
dc.date.issued	2002	en
dc.identifier.issn	0305-0041	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14571
dc.subject	banach space	en
dc.subject	Hilbert Space	en
dc.subject.classification	Mathematics	en
dc.subject.other	CONVEX-BODIES	en
dc.title	Bernstein and Markov-type inequalities for polynomials on real Banach spaces	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S0305004102006217	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0305004102006217	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	In this work we generalize Markov's inequality for any derivative of a polynomial on a real Hilbert space and provide estimates for the second and third derivatives of a polynomial on a real Banach space. Our result on a real Hilbert space answers a question raised by L. A. Harris in his commentary on problem 74 in the Scottish Book [20]. We also provide generalizations of previously obtained inequalities of the Bernstein and Markov-type for polynomials with curved majorants on a real Hilbert space. © 2002 Cambridge Philosophical Society.	en
heal.publisher	CAMBRIDGE UNIV PRESS	en
heal.journalName	Mathematical Proceedings of the Cambridge Philosophical Society	en
dc.identifier.doi	10.1017/S0305004102006217	en
dc.identifier.isi	ISI:000179567900008	en
dc.identifier.volume	133	en
dc.identifier.issue	3	en
dc.identifier.spage	515	en
dc.identifier.epage	530	en